Answer:
a
Yes it clears
b
c
No it does not clear
d
Explanation:
From the question we are told that
The speed at which the player serves the ball is
The height of the ball above the ground is
The distance of the net is
The height of the net is
Generally the time taken for the ball to reach the net is mathematically represented as
=>
=>
Generally the change in height of the ball after t is mathematically represented as
Here u is the initial velocity which is zero given that the ball was at rest initially
So
=>
Generally the new height of the ball is mathematically evaluated as
=>
=>
From the value obtained we see that hence the ball clears the net
Generally the distance between the center of the ball and the top of the net is mathematically represented as
=>
=>
Given that the ball makes an angle of with the horizontal , the velocity along the x-axis is
=>
=>
The velocity along the y-axis is
=>
=>
Generally the time taken for the ball to reach the net is
=>
=>
Generally the change in height of the ball after t seconds is
=>
=>
Generally the new height of the ball after time t seconds is
=>
=>
From the value obtained we see that hence the ball does not clear the net
Generally the distance between the center of the ball and the top of the net is mathematically represented as
=>
=>