Home
Class 11
PHYSICS
A body is projected downwards at an angl...

A body is projected downwards at an angle of ` 30^@` to the horizontal with a velocity of `9.8 m//s` from the top of a a tower ` 29 .4m` high. How long will it take before striking the ground ?

Text Solution

AI Generated Solution

To solve the problem of a body projected downwards at an angle of \(30^\circ\) to the horizontal with a velocity of \(9.8 \, \text{m/s}\) from the top of a tower \(29.4 \, \text{m}\) high, we can break down the solution into several steps. ### Step 1: Break down the initial velocity into components The initial velocity \(u\) can be resolved into two components: - Horizontal component: \(u_x = u \cos(30^\circ)\) - Vertical component: \(u_y = u \sin(30^\circ)\) Given \(u = 9.8 \, \text{m/s}\): ...
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • KINEMATICS

    PRADEEP|Exercise 1 Multiple choice|10 Videos
  • KINEMATICS

    PRADEEP|Exercise 2 Multiple choice|10 Videos
  • KINEMATICS

    PRADEEP|Exercise 3 Problems for practice|67 Videos
  • GRAVIATION

    PRADEEP|Exercise Assertion-Reason Type Questions|19 Videos
  • LAWS OF MOTION

    PRADEEP|Exercise Assertion- Reason Type Questions|17 Videos

Similar Questions

Explore conceptually related problems

A ball is projected horizontally with a velocity of 5ms^(-1) from the top fo a building 19.6 m high. How long will th ball take to hit the ground ?

A body is projected horizontally with a velocity of 39.4m//s from the top of a building . After what time the horizontal and vertical velocities of the body become equal ?

Knowledge Check

  • A ball is thrown horizontally with a speed of 20 m//s from the top of a tower of height 100m velocity with which the ball strikes the ground is .

    A
    `20 sqrt6 m//s` at angle `tan ^(-10 (sqrt7)` below the horizontal
    B
    `20 sqrt6 m//s` at an angle `tan ^(-1) (sqrt6)` below the horizontal
    C
    `20 sqrt6 m//s` at an angle `tan ^(-1)(sqrt5)` below the horizontal
    D
    `10 sqrt6 m//s` at an angle `tan ^(-1) (sqrt5)` below the horizontal
  • A ball is thrown horizontally with a speed of 20 m//s from the top of a tower of height 100m Horizontal distance travelled by the before it strickes the ground is

    A
    `10sqrt5m`
    B
    `20 sqrt5m`
    C
    `30 sqrt5m`
    D
    `40 sqrt5m`
  • A ball is thrown horizontally with a speed of 20 m//s from the top of a tower of height 100m Time taken by the ball to strike the ground is

    A
    `sqrt20s`
    B
    `2 sqrt20 s`
    C
    `4 sqrt20 s`
    D
    `10s`
  • Similar Questions

    Explore conceptually related problems

    A body is projected horizontally from the top of a tower of height 4.9m with a velocity of 9.8m/s. The velocity with which the body strikes the ground is?

    A stone is projected at 30^(@) above to the horizontal with a speed 20m s^(-1) from the top of a tower of height 120m .The time after which it reaches the ground is (g=10m s^(-2) )

    A stone is thrown from the top of a tower at an angle of 30^(@) above the horizontal level with a velocity of 40 m/s. it strikes the ground after 5 second from the time of projection then the height of the tower is

    A body is projected horizontally with a velocity of 4 ms^(-1) from the top of a high tower. The velocity of the body after 0.7 is nearly (Take, g = 10 ms^(-2))

    A body is thrown with a velocity of 9.8 m//s making an angle of 30^(@) with the horizontal. It will hit the ground after a time