A sailboat is sailing in a straight line with a velocity of 10 m/s. Then at time t= 0 s , a stiff wind blows causing the sailboat to accelerate as seen in the diagram below. What is the velocity of the sailboat after the wind has blown for 7 seconds? Show your solution and answer below.
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- (a) Sketch a graph of acceleration versus time corresponding to the graph of velocity versus time given in the following figure. (b) Identify the time or times (ta,tb,tcetc.) at which the acceleration has the greatest positive value (c) At which times is zero? (d) At times is it negative?An airplane is delivering food to a small island. It flies 100 m above the ground at a speed of 160 m/s. a. Sketch the situation showing the flight and the parcel. Draw a motion diagram for the parcel during its flight showing both horizontal and vertical componenets of the velocity along the parcel's trajectory in one diagram. b. Where should the parcel be releasedso it lands on the islandNeglect air resistance. c. Estimate whether you should release the parcel earlier or later if there is air resistance. Explain. You may include a motion diagram and a force diagram in your explanation. 0:48 amlo noltsineestooR lsoirdgeno nolloM Part B- Data for the Motion of a Passenger Jeepney Data Part A- Data for a Bicycle's Motion 1. Plot the tabulated data (d vs t) 2. Time will be in the x-axis and distance in the у-аxis. 3. Connect the points. Describe the graph. 1. Plot the given tabulated data (d vs t) 2. Time will be in the x-axis and distance in the y-axis. 3. Connect the points. Describe your graph. Table 3.2: Bicycle's Motion Table 3. 3: Passenger Jeepney's Motion Distance Time Distance Time d (m) t (s) d (km) t (h) 20 50 1 38 4 100 60 6 100 3 79 100 4 100 10 150 120 12 100 6 138 14 50 8 Table 3.4: Car's Motion Distance Time Part C- Data for the Motion of a Cat d (m) t (s) 01 1. Plot the distance against time (d-t graph) 2. Time will be in the x-axis and distänce in the y- 15.5 4.8 axis. 46.5 8.7 3. Connect the points. Describe the graph. 75.0 11.1 105.2 13.0 150.0 15.3 200.1 17.7
- . You decide to flip a coin to determine whether to do your physics or English homework first.The coin is flipped straight up.a. What is the velocity of the coin at the top of its trajectory?b. If the coin reaches a high point of 0.25 m above where you released it, what was its initial speed?c. If you catch it at the same height as you released it, how much time did it spend in the airA car goes 78 m to the righty and then 22 m to the left. It makes this trip on 35 seconds. a. What is the displacement in meters? b. What is the total distance travelled in meters? c. What is the average velocity? d. What is the average speed in m/s?At the end of a race a runner decelerates from a velocity of 8.70 m/s at a rate of 1.80 m/s2. A. How far in meters does she travel in the next 5.30 s? (Assume the deceleration of 1.80 m/s2is constant over the full 5.30 s.) B. What is her final velocity in m/s? C. Evaluate the result. Does it make sense? (Hint: what is the algebraic sign of the velocity, and what does it imply)
- A stone is thrown straight up from the edge of a reof, 675 feet above the ground, at a speed of 18 feet SEOne per second. A. Remembering that the acceleration due to gravity is -32 feet pET second squared, how high is the stone 2 seconds later? Don't forget to enter the correct units. B.At what time does the stone hit the ground C. What is the velocity of the stone when it hits the ground?8. The acceleration of a taxi cab is a., = bt – ct2. The taxi cab was not moving at t = 0. %3D A. What is the position and velocity as functions of time? B. What is the maximum velocity that the taxi cab will reach?for partial credit. A river of width 80 m has a water current flowing towards east at a velocity of 3 m/s with respect to ground. A motorboat moves with a velocity 4 m/s with respect to ground at 30 degrees west of north. Answer the questions below. 1. a. Draw a diagram to show the situation. b. Draw a vector diagram for given velocities, and required velocity essential to solve the problem. С. $) Determine the relative velocity of the motorboat with respect to water. d. Determine how long the motorboat will take to cross the river How far from the point directly opposite to the starting point does e. the boat reach the opposite bank?
- ©20. A railroad freight yard switch engine on a straight track trav- els 1000. m to the end of the track, then back 600. m, then forward 300. m. a. What is the switch engine's final displacement from its starting position? b. How far did it travel?An object is dropped from a tower, 200 ft above the ground. Theobject's height above ground t sec into the fall is s=200−16t^2. a. What is the object's velocity, speed, and acceleration at time t? b. About how long does it take the object to hit the ground? c. What is the object's velocity at the moment of impact?Two soccer players start from rest 59 m apart. They run toward each other accelerating the entire way. One player accelerates at 0.49 m/s2 and the other accelerates at 0.32 m/s2 . A. Draw a motion diagram. List variable and their values if known. B. How much time does it take for them to collide? (They run the same amount of time) C. How far did each player run?