Show your work. Circle your answer. 2) A diving platform or diving tower has thr

Question

Show your work. Circle your answer.

2) A diving platform or diving tower has three platforms at 10 m, 7.5 m, and 5.0 m. Some students are going to drop or throw straight down identical balls from each platform and they want the balls to reach the water with the same velocity. The ball from the highest platform will just be dropped with zero inital velocity.

(a) What velocity do you need to throw the ball from the middle platform?

(b) What velocity do you need to throw the ball from the bottom platform?

Explanation / Answer

A.

Initial Velocity of ball from P1 = 0 m/sec

h1 = 10 m

Vf1 = sqrt (Vi1^2 + 2*g*H)

Vf1 = sqrt (0^2 + 2*9.81*10) = 14 m/sec

Now its given that

Vf1 = Vf2 = Vf3

So,

(a)

Vi2 = sqrt (Vf2 - 2*g*h2)

Vi2 = sqrt (14^2 - 2*9.81*7.5) = 6.989 m/sec

(b)

Vi3 = sqrt (Vf3 - 2*g*h3)

Vi3 = sqrt (14^2 - 2*9.81*5) = 9.89 m/sec

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