a boy throws a ball with a velocity of 20 metre per second find the time elapsed between the throwing and catching the ball
Answers
Answer:
4.082 secs
Explanation:
If he’s throwing the ball straight up, then the equation for the ball’s motion is h(t)=-4.9 m/s²*t²+20 m/s * t + 0 ( assuming the boy is on the ground when he throws it). The time elapsed between throwing and landing is given by when h(t)=0. So:
h(t)=-4.9t²+20t+0
0=-4.9t²+20t
20t=4.9t²
4.9t=20
t=20/4.9= 4.082 secs
Answer:
The time elapsed between the throwing and catching of the ball= 4.08 seconds
Explanation:
we will assume that the ball is thrown vertically upward and caught at the same place.
I this case the ball will go upward till it's velocity becomes 0 m/s then it will free fall.
v = u + at
v - final velocity = 0
u - initial velocity = 20
t - time
a- acceleration or retardation due to
gravity
t = (v - u) = a = (0-20) ÷ (- 9.80)
-20
=
- 9.8
= 20 -9.8
= 2.04 seconds
now this will free fall from there
and will take same time to be caught =
2.04 seconds
So the time elapsed between the throwing and catching the ball = 2.04 +2.04 = 4.08 seconds