Home
Class 12
PHYSICS
A ball is dropped from the top of a towe...

A ball is dropped from the top of a tower of height (h). It covers a distance of `h`/`2` in the last second of its motion. How long does the ball remain in air?

A

`sqrt(2)-1`

B

`2+sqrt(2)`

C

`sqrt(2)+sqrt(3)`

D

`sqrt(3)+2`

Text Solution

Verified by Experts

The correct Answer is:
B
`h=1/2"gt"^2 " "......(i)`
`h/2=1/2g(t-1)^2 " ".........(ii)`
`1/4"gt"^2=1/2g(t-1)^2`
`t/sqrt2=t-1`
`t(1-1/sqrt2)=1`
`t=sqrt2/(sqrt2-1)xx(sqrt2+1)/(sqrt2+1)`
`t=sqrt2(sqrt2+1)`
`t=2+sqrt2`
Promotional Banner

Similar Questions

Explore conceptually related problems

A ball is dropped from the top of a tower of herght (h). It covers a destance of h // 2 in the last second of its motion. How long does the ball remain in air?

A ball is dropped from the roof of a tower height h . The total distance covered by it in the last second of its motion is equal to the distance covered by it in first three seconds. The value of h in metre is (g=10m//s^(2))

A ball is dropped from the roof of a tower height h . The total distance covered by it in the last second of its motion is equal to the distance covered by it in first three seconds. The value of h in metre is (g=10m//s^(2))

A ball dropped from the top of a tower covers a distance 7x in the last second of its journey, where x is the distance covered in the first second. How much time does it take to reach to ground?.

A body dropped from the top of a tower covers 7/16 of the total height in the last second of its fall. The time of fall is

A particle is dropped from the top of a tower. It covers 40 m in last 2s. Find the height of the tower.

A stone is dropped from the top of a tower of height 125 m. The distance travelled by it during last second of its fall is (g=10 ms^(-2))

A bolldropped from the top of a tower covers a distance 7x in the last second of its journey, where x is the distance coverd int the first second. How much time does it take to reach to ground?.

A body dropped from the top of tower covers a distance 9 x in the last second of its journey, where x is the distance covered in the first second. How much time does it take to reach the ground.

A ball is released from the top of a tower of height h metre. It takes T second to reach the ground. What is the position of the ball in T/3 second?