1. A player kicks a ball with an initial vertical velocity of 12 m/s and horizon

Question

1. A player kicks a ball with an initial vertical velocity of 12 m/s and horizontal velocity of 16 m/s. (a) At what speed does the ball hit the ground? (b) For how long does the ball remain in the air? (c)What maximum height is attained by the ball?

2. A life preserver is thrown from an helicopter straight down to a person in distress. The initial velocity of the life preserver is 1.60 m/s and it takes 2.3 s to reach the water. (a) List the knowns in this problem. (b) How high above the water was the preserver released? Note Ignore air resistance.

Explanation / Answer

One question at a time please....

1) (a) v = sqrt (vx2 + vy2)

v = sqrt (162 + 122)

v = 20 m/s

(b) angle with respect to ground

tan(theta) = 12/16

theta = 36.869 degree

t = 2*v*sin (theta) / g

t = 2*20* sin 36.869 / 9,8

t = 2.448 sec

(c) h = v2 sin 2 (theta) / 2g

h = 202 sin 36.8692 / 2*9.8

h = 7.3466 m

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