Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 2, Problem 64PQ
To determine
The expression for the time
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
n a particular Cartesian coordinate system, a particle has coordinatesx(t) = 2sin(3t) + C,y = 0,z = 0,where t is in seconds, x is in meters, and C is a constant to be determined by the data. At t = 0 the particle was at x = 1 m.
Part (a) Find the value of constant C, in meters.
Part (b) Find the instantaneous velocity, in meters per second, at t = 1.5 s.
Part (c) Find the instantaneous velocity, in meters per second, at t = 1.5 s. Part (d) Find the instantaneous velocity, in meters per second, at t = 2.8 s. Part (e) Find the instantaneous acceleration, in meters per square second, at t = 1.5 s. Part (f) Find the instantaneous acceleration, in meters per square second, at t = 1.5 s. 14% Part (g) Find the instantaneous acceleration, in meters per square second, at t = 2.8 s.
n object starts from origin att%3D0 moves along the x-
axis. the velocity of the object as a function of time is
shown in the in following figure. Find the average
velocity of the object between t%3D0S and t= 2s
4.0
v(m/s)
0 1 2 34 5 6
t(s)
E A scientist tried to launch an
experimental rocket in vertical direction. The
tracking device of the rocket shows the flight
height is at 83.4 ft when its power shut
down. The failure of the parachute to deploy
makes the rocket fell freely to the ground
after 15 seconds. Determine: (a) the velocity
of the rocket when the powered flight
shutdown (b) the maximum height reached
by the rocket.
Chapter 2 Solutions
Physics for Scientists and Engineers: Foundations and Connections
Ch. 2.2 - In each of the five motion diagrams shown in...Ch. 2.3 - For each of the following, give the vector...Ch. 2.5 - Figure 2.11 shows the motion of various objects:...Ch. 2.6 - The top marathon runners complete the race in...Ch. 2.6 - In our everyday experience, we sometimes use the...Ch. 2.6 - Prob. 2.6CECh. 2.8 - Kinematics graphs are great for showing how a...Ch. 2 - Is the Moons motion around the Earth...Ch. 2 - An animals tracks are frozen in the snow (Fig....Ch. 2 - Problems 3 and 12 are paired. G A particle moves...
Ch. 2 - Prob. 4PQCh. 2 - For each of the following velocity vectors, give...Ch. 2 - In the traditional Hansel and Gretel fable, the...Ch. 2 - After a long and grueling race, two cadets, A and...Ch. 2 - Prob. 8PQCh. 2 - Elisha Graves Otis invented the elevator brake in...Ch. 2 - As shown in Figure 2.9, Whipple chose a coordinate...Ch. 2 - Prob. 11PQCh. 2 - Prob. 12PQCh. 2 - A race car travels 825 km around a circular sprint...Ch. 2 - Prob. 14PQCh. 2 - A train leaving Albuquerque travels 293 miles, due...Ch. 2 - Prob. 16PQCh. 2 - The position of a particle attached to a vertical...Ch. 2 - Prob. 18PQCh. 2 - Prob. 19PQCh. 2 - Prob. 20PQCh. 2 - During a relay race, you run the first leg of the...Ch. 2 - Prob. 22PQCh. 2 - Prob. 23PQCh. 2 - Prob. 24PQCh. 2 - During a thunderstorm, a frightened child is...Ch. 2 - Scientists and engineers must interpret problems...Ch. 2 - Prob. 27PQCh. 2 - Prob. 28PQCh. 2 - A In attempting to break one of his many swimming...Ch. 2 - A The instantaneous speed of a particle moving...Ch. 2 - A particles velocity is given by vy(t)=atj, where...Ch. 2 - Prob. 32PQCh. 2 - Figure P2.33 shows the y-position (in blue) of a...Ch. 2 - A particles position is given by z(t) = (7.50...Ch. 2 - Prob. 35PQCh. 2 - Two sprinters start a race along a straight track...Ch. 2 - An electronic line judge camera captures the...Ch. 2 - During a bungee jump, a student (i) initially...Ch. 2 - Prob. 39PQCh. 2 - Prob. 40PQCh. 2 - Prob. 41PQCh. 2 - Prob. 42PQCh. 2 - Prob. 43PQCh. 2 - Prob. 44PQCh. 2 - A computer system, using a preset coordinate...Ch. 2 - In Example 2.6, we considered a simple model for a...Ch. 2 - A uniformly accelerating rocket is found to have a...Ch. 2 - Prob. 48PQCh. 2 - A driver uniformly accelerates his car such that...Ch. 2 - Car A and car B travel in the same direction along...Ch. 2 - Accelerating uniformly to overtake a slow-moving...Ch. 2 - An object that moves in one dimension has the...Ch. 2 - A particle moves along the positive x axis with a...Ch. 2 - Case Study Crall and Whipple attached a fan to a...Ch. 2 - Prob. 55PQCh. 2 - The engineer of an intercity train observes a rock...Ch. 2 - A pebble is thrown downward from a 44.0-m-high...Ch. 2 - In a cartoon program, Peter tosses his baby,...Ch. 2 - Tadeh launches a model rocket straight up from his...Ch. 2 - Prob. 60PQCh. 2 - In the movie Star Wars: The Empire Strikes Back,...Ch. 2 - A worker tosses bricks one by one to a coworker on...Ch. 2 - A rock is thrown straight up into the air with an...Ch. 2 - Prob. 64PQCh. 2 - A sounding rocket, launched vertically upward with...Ch. 2 - Prob. 66PQCh. 2 - While strolling downtown on a Saturday Afternoon,...Ch. 2 - Prob. 68PQCh. 2 - A trooper is moving due south along the freeway at...Ch. 2 - A dancer moves in one dimension back and forth...Ch. 2 - The electrical impulse initiated by the nerves in...Ch. 2 - Two cars leave Seattle at the same time en route...Ch. 2 - An object begins to move along the y axis and its...Ch. 2 - Prob. 74PQCh. 2 - Prob. 75PQCh. 2 - Two carts are set in motion at t = 0 on a...Ch. 2 - Prob. 77PQCh. 2 - Cars A and B each move to the right with constant...Ch. 2 - Prob. 79PQCh. 2 - Prob. 80PQCh. 2 - Prob. 82PQCh. 2 - Prob. 83PQCh. 2 - A Write expressions for the average acceleration...Ch. 2 - Prob. 85PQCh. 2 - Prob. 86PQCh. 2 - In 1898, the world land speed record was set by...Ch. 2 - In Example 2.12, two circus performers rehearse a...Ch. 2 - Prob. 89PQ
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- Some cats can be trained to jump from one location to another and perform other tricks. Kit the cat is going to jump through a hoop. He begins on a wicker cabinet at a height of 1.750 m above the floor and jumps through the center of a vertical hoop, reaching a peak height 3.125 m above the floor. a. With what initial velocity did Kit leave the cabinet if the hoop is at a horizontal distance of 1.544 m from the cabinet? b. If Kit lands on a bed at a horizontal distance of 3.587 m from the cabinet, how high above the ground is the bed?arrow_forwardFigure P2.33 shows the y-position (in blue) of a particle versus time. a. What is the average velocity of the particle during the time interval t = 1.00 s to t = 3.50 s? b. Using the tangent to the curve (shown as the orange line in the figure), what is the instantaneous velocity of the particle at t = 1.50 s? c. At what time is the velocity of the particle equal to zero? FIGURE P2.33arrow_forwardA rock is thrown horizontally off a 56.0-m-high cliff overlooking the ocean, and the sound of the splash is heard 3.60 s later. If the speed of sound in air at this location is 343 m/s, what was the initial velocity of the rock?arrow_forward
- In the movie Star Wars: The Empire Strikes Back, after being told that Darth Vader is his father, Luke Skywalker falls from a ledge in Cloud City (not on the Earth, so the magnitude of the free-fall acceleration is not necessarily 9.81 m/s2). Suppose he falls a distance of 28.5 m in 2.5 s. Assuming he starts from rest, answer the following questions. a. What is Lukes velocity 2.5 s after he starts to fall? b. What is the constant acceleration due to gravity, experienced by Luke, on Cloud City? Use an upward-pointing y axis.arrow_forwardDuring the battle of Bunker Hill, Colonel William Prescott ordered the American Army to bombard the British Army camped near Boston. The projectiles had an initial velocity of 45 m/s at 35 above the horizon and an initial position that was 35 m higher than where they hit the ground. How far did the projectiles move horizontally before they hit the ground? Ignore air resistance.arrow_forwardA baseball diamond consists of four plates arranged in a square. Each side of the square is 90 ft (27.43 m) long. Use an x y coordinate system with the origin at the center of the diamond as shown in Figure P3.18. a. What is the position of each plate in this system? b. What is the distance from home plate to second base?arrow_forward
- If a particles speed is always increasing, what are the possible angles between the particles velocity and acceleration?arrow_forwardFebruary 3, 2009, was a very snowy day along Interstate 69 just outside of Indianapolis, Indiana. As a result of the slippery conditions and low visibility (50 yards or less), there was an enormous accident involving approximately 30 vehicles, including cars, tractor-trailers, and even a fire truck. Many witnesses said that people were driving too fast for the conditions and were too close together. In this problem, we explore two rules of thumb for driving in such conditions. The first is to drive at a speed that is half of what it would be in ideal conditions. The other is the 8-second rule: Watch the vehicle in front of you as it passes some object such as a street sign, and you should pass that same object 8 seconds later. On a dry road, the 8-second rule is replaced by a 3-second rule. a. Assume vehicles on a slippery interstate highway follow both rules. What is the distance between the vehicles? b. If a driver followed the first rule of thumb, driving at a lower speed, but used the 3-second rule instead of the 8-second rule, what is the distance between the vehicles? How does that distance compare with the visibility on the day of the accident? c. Suppose drivers do not follow either rule of thumb for slippery conditions. What is the distance between vehicles? How does that distance compare with the visibility on that day? d. Suppose a driver was not obeying either rule of thumb when she sees a tractor-trailer that stopped on the highway. She presses on her brakes, locking the wheels, and her car crashes into the truck. Estimate the magnitude of the impulse exerted on her car. e. Estimate the impulse on the car in part (d) had the driver followed both rules of thumb for slippery conditions instead of ignoring them.arrow_forwardA falcon is soaring over a prairie, flying at a height of 45.0 m with a speed of 12.9 m/s. The falcon spots a mouse running along the ground and dives to catch its dinner. Ignoring air resistance, and assuming the falcon is only subject to the gravitational force as it dives, how fast will the falcon be moving the instant it is 5.00 m above the ground?arrow_forward
- Anthony carelessly rolls his toy car off a 74.0-cm-high table. The car strikes the floor a horizontal distance of 97.0 cm from the edge of the table. a. What was the velocity with which the car left the table? b. What was the angle of the cars velocity with respect to the floor just prior to impact?arrow_forwardn A person flips a coin into the air and it landson the ground a few feet away. (a) If the person were to performan identical coin flip on an elevator rising with constant speed,would the coin’s time of flight be greater than, less than, or equalto its time of flight when the person was at rest? (b) Choose thebest explanation from among the following:I. The floor of the elevator is moving upward, and hence itcatches up with the coin in mid flight.II. The coin has the same upward speed as the elevator when itis tossed, and the elevator’s speed doesn’t change during thecoin’s flight.III. The coin starts off with a greater upward speed because of theelevator, and hence it reaches a greater height.arrow_forwardr The speed of a boat in still water is V. A river flows with a speed of v₁. The boat travels distance of 14 miles downstream in a river in 1 hour. However, the return journey takes 2 hours. Calculate the V and V₁. Hint: Velocity = displacement/time. Displacement can be positive of neagtive depending on the direction. You will first need to set up the equations by taking into account the resultant velocity of the boat in flowing water. Consider the direction the river is flowing to be positive. Set up two equations, one for the downstream journey and one for the upstream journey, in terms of "V" and "v": Do V" and "v, add or substract downstream to give the resultant downstream velocity? Do v" and "v, add or substract upstream togive the resultant upstream velocity? Use the upstream direction as negative. The resultant upstream velocity should be negative. Equation 1 (downstream): Equation 2 (upstream): Solve for: V₁² vb Write an algebraic expression; do not use numerical values except…arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Kinematics Part 3: Projectile Motion; Author: Professor Dave explains;https://www.youtube.com/watch?v=aY8z2qO44WA;License: Standard YouTube License, CC-BY