1- At what time, after being struck by the racket, does the ball either pass ove

Question

1- At what time, after being struck by the racket, does the ball either pass over the net or else hit the net

2-By how much does the ball clear the net?If the ball does not clear the net, but instead hits the net, enter this height as a negative number?

3-At what time, after being struck by the racket, does the ball reach its maximum altitude?

4-What is that maximum altitude?

5-At what time, after being struck by the racket, does the ball finally hit the ground? Note: if the ball would have hit the net, assume that the net has a hole in it at that location so that the ball would pass through the net with no interruption in its flight path.

6-At what horizontal distance from the net does the ball finally hit the ground?

Explanation / Answer

1.   ball have to travel 7 m horizontally .

t = distance / horizontal velocity

t   = 7/22cos5.1 =0.32 sec

2. in vertical :

h = 22sin5.1 x 0.32 - 9.8 x 0.32^2 /2
= 0.123 m

net is below 2-1 = 1m .

clear height = 1 + 0.123 = 1.123 m

3. max. height when vertical component of velocity   = 0

vy = uy +at
0 = 22sin5.1   - 9.8t
t= 0.2 sec

4. h = uy*t +at^2 /2
    = 22sin5.1 *0.2 - 9.8 x0.2^2 /2   = 0.195 m
form racquet

fromground   = 2.195 m

5.to hit ground ball have travel 2 m in vertical downwrads .

h = ut + at^2 /2
-2 = 22sin5.1t - 9.8t^2 /2
4.9t^2 - 1.96t   -2 = 0

t = 0.87 sec

6. d = ux*t
= 22cos5.1 * 0.87   =19.50 m

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