Additional Questions (4,5)

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[1] The position versus time for a certain particle moving along the x axis is shown in Figure. Find the average velocity in the time intervals

(a) 0 to 2 s, (b) 2 to 4 s, (c) 4 s to 5 s, (d) 4 s to 7 s, (e) 0 to 8 s

[2] A particle moves along the x axis. Its position is given by the equation x= 2 t + 3t ² with x in meters and t in seconds. Calculate the velocity and acceleration at t=3s.

[3] A position-time graph for a particle moving along the x axis is shown in Figure (a) Find the average velocity in the time interval t = 1.50 s to t = 4 s. (b) At what value of t is the velocity zero?

[4] A particle moves along the x axis according to the equation x = 2+ 3t - t ² where , x is in meters and t is in seconds. At t= 3 s, find (a) the position of the particle, (b) its velocity, and (c) its acceleration.

[5] Consider the motion of the object whose velocity-time graph is given in the diagram

1- What is the acceleration of the object between times t=0 to 2s?

2- What is the acceleration of the object between times t=10 to 12s?

3- What is the net displacement of the object between times 0 to 16s?

[6] A truck covers 40m in 8.5 s while smoothly slowing down to a final speed of 2.80 m/s. (a) Find its original speed. (b) Find its acceleration.

[7]A boy throws a ball upward from the top of a building with an initial velocity of 20.0 m/s. The building is 50 meters high. Determine (a) the time needed for the ball to reach its maximum height (b) the maximum height (c) the time needed for the ball to reach the level of the thrower (d) the velocity of the stone at this instant (e) the velocity and position of the ball after 5.00 s (f) the velocity of the ball when it reaches the bottom of the building

[8] Suppose a spacecraft is traveling with a speed of 3250 m/s, and it slows down by firing its retro rockets, so that a= -10 m/s². What is the velocity of the spacecraft after it has traveled 215km?

[9] A car can brake to a stop in a distance of 121 ft. from a speed of 60.0 mi/h. To brake to a stop from a speed of 80.0 mi/h requires a stopping distance of 211 ft. What is the average braking acceleration for (a) 60 mi/h to rest, (b) 80 mi/h to rest, (c) 80 mi/h to 60 mi/h? Express the answers m/s2.

[11] A car moved 20 km East and 60 km West in 2 hours. What is its average velocity? [ 20m/s ]

[12] A car moved 20 km East and 70 km West. What is the distance? [ 90m/s ]

[13] If a car accelerates from 5 m/s to 15 m/s in 2 seconds, what is the car's average acceleration? Answer [ 5m/s² ]

[14] How long does it take to accelerate an object from rest to 10 m/s if the acceleration was 2 m/s? Answer [ 5s ]

[15] If a car accelerated from 5 m/s to 25 m/s in 10 seconds, how far will it travel? Answer [ 150m ]

[16] What is the displacement of a car whose initial velocity is 5 m/s and then accelerated 2 m/s2 for 10 seconds? Answer [ 150m ]

[17] What is the final velocity of a car that accelerated 10 m/s2 from rest and traveled 180m? Answer [ 60m/s ]

[18] How long will it take for an apple falling from a 29.4m-tall tree to hit the ground? Answer [ 2.4s ]

[19] A particle moves along the x axis according to the equation x = 2.00 + 3.00t -1.00t 2, where x is in meters and t is in seconds. At t = 3.00 s, find (a) the position of the particle, (b) its velocity, and (c) its acceleration.

[20] An object moves along the x axis according to the equation x(t) = (3.00t2 -2.00t + 3.00) m. 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.

[21] A particle moves along the x axis. Its position is given by the equation x =2 + 3t - 4t 2 with x in meters and t in seconds. Determine (a) its position when it changes direction and (b) its velocity when it returns to the position it had at t = 0.

[22] A ball is thrown directly downward, with an initial speed of 8.00 m/s, from a height of 30.0 m. After what time interval does the ball strike the ground?

[23]

A ball is dropped from rest from a height h above the ground. Another ball is thrown vertically upwards from the ground at the instant the first ball is released. Determine the speed of the second ball if the two balls are to meet at a height