the position and height of the net have nothing to do with the ball's velocity unless the ball hits it.
v(t) = 30i - (gt)j
The following question i am having problem with:
A tennis ball is served horizontally from 2.5m above the ground at 30m/sec. The net is 12m away and 0.9m high.
a) Find its velocity (v) at any time t seconds
This is what i done:
find the integral to get velocity
v=c_1 i + (-gt+c_2)j
A tennis ball is served horizontally from 2.5 m above the ground at 30 m/sec.
a) Find its velocity (v) at any time t seconds.
This is a Projectile problem; there is vertical and horizontal displacement.
The horizontal position is: .
The vertical position is: .
The velocity is a vector; it has magnitude and direction.
. . The magnitude is: .
. . The direction is: .