On the planet Zarth, basketball is very different - the players fly and drop the

Question

On the planet Zarth, basketball is very different - the players fly and drop the balls into the basket. If a player drops the ball from 10 m above the basket and it takes 5 s to reach the basket, what is the acceleration due to gravity on Zarth? 1. 2. A ball is thrown downward from the top of a building with a speed of 5 m/s. It hits the ground 2.5 s later. a. How tall is the building? b. How fast is the ball moving just before it hits the ground? . A stone is dropped from a bridge that is 25 m above a river. a. How much time passes before the stone enters the river? b. How far did the stone fall in the last full second of its fall? c. What percentage of its total distance fallen was covered in the last full second?

Explanation / Answer

1. Applying yf - yi = vi t + a t^2 /2  

0 - 10 = 0 + (-a)(5^2)/2

a = 0.8 m/s^2 .........Ans

2. (A) yf - yi = vi t + a t^2 / 2

h - 0 = (5 x 2.5) + (9.8 x 2.5^2)/2

(taking downwad as +ve direction)

h = 43 m

(B) v = vi + a t = 5 + (9.8 x 2.5) = 29.5 m/s

3. (a) 25 - 0 = 0 + 9.8 t^2 /2

t = 2.26 sec  

(b) distance travelled in 1.26 s,

d1 = 0 + (9.8 x 1.26^2)/2 = 7.8 m  

distance travelled in last 1 - d = 17.2 m

(C) % = (17.2/25) x 100 = 69 %

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