Home
Class 11
PHYSICS
A ball is dropped from the top of a towe...

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?

Text Solution

Verified by Experts

`h=(1)/(2)g n^(2)(h)/(2) =(1)/(2)g(n-1)^(2)`, where `n` is the total time taken.
Solving, we get
`n=(sqrt2)/(sqrt2-1) rArr n=((sqrt2)/(sqrt2-1)) ((sqrt2+1)/(sqrt2+1)) =2+sqrt2 s`.
Promotional Banner

Topper's Solved these Questions

  • KINEMATICS-1

    CENGAGE PHYSICS ENGLISH|Exercise Exercise 4.3|15 Videos

  • KINEMATICS-1

    CENGAGE PHYSICS ENGLISH|Exercise Exercise 4.4|16 Videos

  • KINEMATICS-1

    CENGAGE PHYSICS ENGLISH|Exercise Exercise 4.1|17 Videos

  • GRAVITATION

    CENGAGE PHYSICS ENGLISH|Exercise INTEGER_TYPE|1 Videos

  • KINEMATICS-2

    CENGAGE PHYSICS ENGLISH|Exercise Exercise Integer|9 Videos

Similar Questions

Explore conceptually related problems

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 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 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 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?

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?