A ball is thrown horizontally from the top of tower 100mhight,withspeed10m/s.after 2sec of fall gravity disappears.then total time taken by ball to reach the ground is(g=10m/s)
Answers
Answer:
Total time taken by the ball to reach the ground = 6 seconds
Time taken by the ball to reach the ground after the gravity disappears = 4 seconds
EXPLAINATION:
Given,
The height of the tower = 100 m
Initial horizontal speed = 10 m/s
Ball is thrown horizontally from the top of the tower therefore its initial vertical speed will be zero
Thus using the second equation of motion
The vertical distance h covered in 2 seconds
\boxed{h=\frac{1}{2}gt^2}
h=
2
1
gt
2
or, h=\frac{1}{2}\times 10\times 2^2=20h=
2
1
×10×2
2
=20 m
Therefore the height left = 100 - 20 = 80 m
The vertical velocity after 2 seconds
using the first equation of motion
v=0+gtv=0+gt
\implies v=10\times2=20⟹v=10×2=20 m/s
Since the gravity disappears after 2 seconds
therefore there will be no acceleration in the vertical direction
time taken to cover 80 m distance = distance/velocity
= 80/20
= 4 second
Explanation:
use the time of flight ... 2 u sin theta by g..