Part A With what minimum speed must you toss a 180 g ball straight up to just to

Question

Part A

With what minimum speed must you toss a 180 g ball straight up to just touch the 14-m-high roof of the gymnasium if you release the ball 1.6 m above the ground? Solve this problem using energy.

Express your answer to two significant figures and include the appropriate units.

vmin =?

Part B

With what speed does the ball hit the ground?

Express your answer to two significant figures and include the appropriate units.

v =?

vmin =?

Part B

With what speed does the ball hit the ground?

Express your answer to two significant figures and include the appropriate units.

v =?

Explanation / Answer

Y = vertical displacement of ball = 14 - 1.6 = 12.4 m

Vi = initial speed

Vf = final speed = 0 m/s

a = acceleration = - 9.8 m/s2

using the equation

Vf2 = Vi2 + 2 a Y

02 = Vi2 + 2 (-9.8) (12.4)

Vi = 15.6 m/s

b)

Y = vertical displacement of ball = - 1.6 m

Vi = initial speed = 15.6

Vf = final speed

a = acceleration = - 9.8 m/s2

using the equation

Vf2 = Vi2 + 2 a Y

Vf2 = (15.6)2 + 2 (-9.8) (- 1.6)

Vf = 16.6 m/s

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