Home
Class 12
PHYSICS
A shot is fired with a velocity u at a v...

A shot is fired with a velocity u at a vertical wall whose distance from the point of projection is x. Prove the greatest height above the level of the point of projection at which the bullet can hit the wall is `(u^(4) - g^(2)x^(2))/(2gu^(2))`

Text Solution

AI Generated Solution

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • MOTION IN A PLANE

    AAKASH SERIES|Exercise QUESTION FOR DESCRIPTIVE ANSWER|7 Videos
  • MOTION IN A PLANE

    AAKASH SERIES|Exercise NUMERICAL EXERCISE (LEVEL -1)|33 Videos
  • MOTION IN A PLANE

    AAKASH SERIES|Exercise EXERCISE-3 (Circular Motion)|7 Videos
  • MOTION IN A STRAIGHT LINE

    AAKASH SERIES|Exercise very Short answer type question|15 Videos

Similar Questions

Explore conceptually related problems

A particle is projected vertically upward with velocity u from a point A , when it returns to the point of projection .

A ball is projected from a point on the floor wilth a speed of 15 m/s at an angle of 60^0 with the horizontal. Will ilt hit a vertical wall 5 m away from the point of projection and perpendiculaer to the plane of projection without and perpendicular to the plane of projection without hitting the floor? will the answer differ if the wall is 22 m away?

A ball is projected from the ground with speed u at an angle alpha with horizontal. It collides with a wall at some distance from the point of projection and returns on the same level. Coefficient of restitution between the ball and the wall is e, then time taken in path AB and maximum height attained by the ball is

A ball is projected from ground with a speed 70m//s at an angle 45^(@) with the vertical so that it strikes a vertical wall at horizontal distance (490)/(3)m from the point of projection. If the ball returns back to the poin tof projection without any collision with ground then find the coefficient of restitution between the ball and wall.

A particle is projected from a point on the level ground and its height is h when at horizontal distances a and 2 a from its point of projection. Find the velocity of projection.

A ball is thrown from a point in level with velocity u and at a horizontal distance r from the top os a tower of height h . At what horizontal distance x from the foot of the tower does the ball hit the ground ?

A ball is projected from the ground with speed u at an angle alpha with horizontal. It collides with a wall at a distance a from the point of projection and returns to its original position. Find the coefficient of restitution between the ball and the wall.

A projectile, thrown with velocity v_(0) at an angle alpha to the horizontal, has a range R. it will strike a vertical wall at a distance R//2 from the point of projection with a speed of

A ball is thrown from the top of a tower in vertically upward direction. Velocity at a point h m below the point of projection is twice of the velocity at a point h m above the point of projection. Find the maximum height reached by the ball above the top of tower.

A ball of mass m is projected from the ground with an initial velocity u making an angle of theta with the vertical. What is the change in velocity between the point of projection and the highest point ?