A cart starts from rest and accelerates uniformly at 4.0 m/s^2 for 5.0 s. It nex

Question

A cart starts from rest and accelerates uniformly at 4.0 m/s^2 for 5.0 s. It next maintains the velocity it has reached for 10 s. Then it slows down at a steady rate of 2.0 m/s^2 for 4.0 s. What is the final speed of the car? A soccer ball is released from rest at the top of a grassy incline. After 6.4 seconds the ball has rolled 91 m with constant acceleration, and 1.0 s later it reaches the bottom of the incline. A) What was the ball's acceleration? B) How long was the incline? A ball is thrown straight up with a speed of 30 m/s, and air resistance is negligible. (a) How long does it take the ball to reach the maximum height? (b) What is the maximum height reached by the ball? (c) What is its speed after 4.2 s? As shown in the figure, a heavy rock is shot upward from the edge of a vertical cliff. It leaves the edge of the cliff with an initial velocity of 15 m/s directed at 25 degree from the vertical and experiences no appreciable air resistance as it travels. How high is the cliff?

Explanation / Answer

here,

1)

for accelrating period ,

the final speed , v = u + a * t

v = 0 + 4 * 5 m/s

v = 20 m/s

for deaccelrating period

the final speed be v' = v + a * t

v' = 20 - 2 * 4 m/s

v' = 12 m/s

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