if a ball is thrown upward at a speed of 11 metre per second from balcony 4 m above the ground. How much time it would take to strike the ground at the base of the balcony ?
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Initial speed, u=11 m/s
For upward motion of ball,
Final speed, v=0
Using,
v^2=u^2+2gh
0=11^2+2×(−10)×h
0=121−20h
or h=121/20=6.05 m
Again,
v=u+gt
0=11−10t
t=1.1 s
For downward journey,
Initial speed,
u=0
h=6.05+4=10.05 m
Using,
v^2=u^2+2gh
=0+2×10×10.05
or
v=14.17 m/s
Again,
v=u+gt
14.17=0+10t
or
t=1.417 s
Total time taken in the whole journey
=1.1+1.417=2.517 s
For upward motion of ball,
Final speed, v=0
Using,
v^2=u^2+2gh
0=11^2+2×(−10)×h
0=121−20h
or h=121/20=6.05 m
Again,
v=u+gt
0=11−10t
t=1.1 s
For downward journey,
Initial speed,
u=0
h=6.05+4=10.05 m
Using,
v^2=u^2+2gh
=0+2×10×10.05
or
v=14.17 m/s
Again,
v=u+gt
14.17=0+10t
or
t=1.417 s
Total time taken in the whole journey
=1.1+1.417=2.517 s
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