Find the time it takes the boat to travel the given distance. A ball is thrown v

Question

Find the time it takes the boat to travel the given distance. A ball is thrown vertically upward with a speed of 40.0 m/s. How high does it rise? How long does it take to reach its highest point? How long does the ball take to hit the ground after it reaches its highest point? What is its velocity when it returns to the level from which it started? The center of mass moves with constant acceleration when constant forces act on the object. A gym ground. How high above this point is her center of mass at the following times? Ignore the effects

Explanation / Answer

initial velocity, u = + 40 m/s

a = - 9.8 m/s^2

(a) it will rise until its velocity becomes zero.

hence final velocity, v = 0

Applying, v^2 - u^2 = 2 a h

0^2 - 40^2 = 2(-9.8)(h)

h = 81.63 m

(B) v = u + at

0 = 40 - 9.8 t

t = 4.08 sec

(C) now for motion from highest point to ground,

initial velocity, v (velocity at highets point) = 0

displacement, y = - 81.63 m

a = - 9.8 m/s^2

applying, y = u t + a t^2 /2

- 81.63 = 0 - 9.8 t^2 / 2

t = 4.08 s

(D) applying v = u + at

v = 0 + (-9.8)(4.08)

v = - 40 m/s

(minus sign indicates that direction is downwards)

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