Suppose the velocity vx of a certain car at any time is given by the following equation: vz(t) = 60.m/s + (0.50m/s³)t² (a) Does this equation incorporate Jerk? yes (b) Find the change in velocity of the car in the time interval between t1 = 1.0s and t2 = 3.0 s. 62 m/s (c) Find the average acceleration in this time interval. 31 m/s^2 (d) Is the car accelerating or decelerating? accelerating (e) Find the instantaneous acceleration at time t1 = 1.0 s by taking At to first be 0.1 s, then 0.01 s, then 0.001 s. What is your conclusion for the instantaneous acceleration at t1 = 1.0 s? type your answer....

Suppose the velocity vx of a certain car at any time is given by the following equation: vz(t) = 60.m/s + (0.50m/s³)t² (a) Does this equation incorporate Jerk? yes (b) Find the change in velocity of the car in the time interval between t1 = 1.0s and t2 = 3.0 s. 62 m/s (c) Find the average acceleration in this time interval. 31 m/s^2 (d) Is the car accelerating or decelerating? accelerating (e) Find the instantaneous acceleration at time t1 = 1.0 s by taking At to first be 0.1 s, then 0.01 s, then 0.001 s. What is your conclusion for the instantaneous acceleration at t1 = 1.0 s? type your answer....

Name: Suppose the velocity vx of a certain car at any time is given by the
Uploaded: 2024-03-20T06:57:57.000Z
Channel: Bartleby
Description: Suppose the velocity vx of a certain car at any time is given by the following equation:v₂ (t) = 60.m/s + (0.50m/s³)t²(a) Does this equation incorporate Jerk? yes(b) Find the change in velocity of the car in the time interval between t1 = 1.0 s and

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter2: Motion In One Dimension

Section: Chapter Questions

Problem 10P: An object moves along the x axis according to the equation x = 3.00t2 2.00t + 3.00, where x is in...

See similar textbooks

Similar questions

Acceleration a has the dimensions of length per time squared, speed v has the dimensions of length per time, and radius r has the dimension of length. Which of the following expressions may be correct? Explain your answer in each case. a. a = vr b. a = v/r c. a = v2/r d. a = v/r2
An object moves along the x axis according to the equation x = 3.00t2 2.00t + 3.00, where x is in meters and t is in seconds. Determine (a) the average speed between t = 2.00 s and t = 3.00 s, (b) the instantaneous speed at t = 2.00 s and at t = 3.00 s, (c) the average acceleration between t = 2.00 s and t = 3.00 s, and (d) the instantaneous acceleration at t = 2.00 s and t = 3.00 s. (e) At what time is the object at rest?
A pumpkin is shot straight up with an initial speed of 5.9 m/s. What is the maximum height it can reach, in meters? Use g = 10 m/s2.Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.
A boxer's fist and glove have a mass of m = 1.04 kg. The boxer's fist can obtain a speed of v = 9.25 m/s in a time of t = 0.21 s. Write a symbolic expression for the magnitude of the average acceleration, aave, of the boxer's fist, in terms of the variables provided. Find the magnitude of the average acceleration, aave, in meters per square second. Write an expression for the magnitude of the average net force, Fb, that the boxer must apply to his fist to achieve the given velocity. (Write the expression in terms of m, v and t.) What is the numerical value of Fb, in newtons?
An object moves along the x-axis according to the equation x = 2.95t2 − 2.00t + 3.00, where x is in meters and t is in seconds. a) Determine the average speed between t = 3.00 s and t = 4.60 s b) Determine the instantaneous speed at t = 3.00 s. c) Determine the instantaneous speed at t = 4.60 s. d) Determine the average acceleration between t = 3.00 s and t = 4.60 s. e) Determine the instantaneous acceleration at t = 3.00 s. f) Determine the instantaneous acceleration at t = 4.60 s. g) At what time is the object at rest?
A car is traveling on a straight, level road under wintry conditions. Seeing a patch of ice ahead of her, the driver of the car slams on her brakes and skids on dry pavement for 70 m, decelerating at 6.0 m/s2. Then she hits the icy patch and skids again. The car takes a duration of 85.0 s to come to rest during the second skid. If her initial speed was 50 m/s, what was the magnitude of the deceleration on the ice during the second skid. 1. Which of the following kinematic equations would you use to determine the velocity of the car after skidding on the dry pavement for 70 m? 2. Determine the velocity of the car after skidding on the dry pavement for 70 m. 3. Which of the following kinematic equations would you use to determine the deceleration of the car after skidding to a stop on the icy patch? 4. Determine the magnitude of the deceleration of the car after skidding to a stop on the icy patch.
A car is stopped at a traffic light. It then travels along a straight road so that it's distance from the light is given by x(t) = bt^2-ct^3, where b = 2.40 m/s^2 and c = 0.120 m/s^3. Calculate the average velocity of the car for time interval t= 0 to t = 10.0 s. b) Calculate the instantaneous velocity of the car at t = 0, t = 5.0 s and t = 10.0 s. c) How long after starting from rest is the car again at rest?
A car is traveling on a straight, level road under wintry conditions. Seeing a patch of ice ahead of her, the driver of the car slams on her brakes and skids on dry pavement for 70 m, decelerating at 6.0 m/s2. Then she hits the icy patch and skids again. The car takes a duration of 85.0 s to come to rest during the second skid. If her initial speed was 50 m/s, what was the magnitude of the deceleration on the ice during the second skid.
Cheetahs can accelerate to a speed of 20.2 m/s in 2.65 s and can continue to accelerate to reach a top speed of 29.0 m/s . Assume the acceleration is constant until the top speed is reached and is zero thereafter. Let the +? direction point in the direction the cheetah runs.Express the cheetah's top speed ?top in miles per hour (mi/h) .Starting from a crouched position, how much time ?accel does it take a cheetah to reach its top speed and what distance ? does it travel in that time?
A car is moving at 18.00[m/s], and comes to a stop in 3.45[s], due to friction acting on the car. Assuming the acceleration is constant, what is the magnitude of the acceleration experienced by the car? Express your answer in m/s2.
An unidentified flying object (UFO) is observed to travel a total distance of 42000 m, starting and ending at rest, over a duration of 2.07 s. Assuming the UFO accelerated at a constant rate to the midpoint of its journey and then decelerated at a constant rate the rest of the way, what was the magnitude of its acceleration? Express your answer in g s , where 1 g = 9.81 m/s^2. 39,207 g s 19,604 g s 3,997 g s 1,998 g s
An antelope moving with constant acceleration covers the distance 65.0 mm between two points in time 7.00 ss. Its speed as it passes the second point is 16.0 m/sm/s. What is its speed at the first point? Express your answer with the appropriate units. v = What is the acceleration? Express your answer with the appropriate units. a=