Q. 5 A ball is thrown vertically upward from ground with a speed of 10 m/s. a) H

Question

Q. 5 A ball is thrown vertically upward from ground with a speed of 10 m/s. a) How high does it rise? B) How long does it take to reach the highest point? C) How long does the ball take to hit the ground after it reaches its highest point? D] what is the velocity when it returns to the level from which it started? (20 points) Solution Q. 6 A car accelerates uniformly from rest to a speed of 40mi/h in 12 s. Find a) the distance the car travels during this time and b) the constant acceleration of the car. (20 pt) Solution:

Explanation / Answer

5. v0 = 10 m/s

(A) at maximum height, vf = 0

vf^2 - v0^2 = 2 a d

0^2 - 10^2 = 2(-10) (d)

d = 10 m

(B) vf = v0 + a t

0 = 10 - 10 t

t = 1 sec

(C) it will take sae time, t = 1 sec

(D) v = 0 + (-10 x 1) = - 10 m/s

so 10 m/s downwards

6. v0 = 0

v = 40 mi/h = 40 x 1609 / 3600s = 17.9 m/s

t = 12 s

v = v0 + a t

17.9 = 0 + 12a

a = 1.49 m/s^2

(A) vf^2 - v0^2 = 2 a d

17.9^2 - 0^2 = 2(1.49)(d)

d = 107.5 m

(b) a = 1.49 m/s^2

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