Home
Class 11
PHYSICS
A ball is projected from a point on the ...

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?

Text Solution

Verified by Experts

Here u= 15 m/s, ` theta = 60^0, g= 9.8 m/s^2`
Horizontal range,
`x= (u^2 sin 2theta)/g`
= ((15)2 sin (2x`60^@`)/g`
` 19.88m`
IN the first case the wall is 5 m away from projection point, so it is in the horizontal range of projectile. So the ball will hit he wall. ltbrlt IN the second case (22 m away) wall is notk within the horizontal range. So the ball would not hit the wall.
Promotional Banner

Similar Questions

Explore conceptually related problems

A particle is projected with a velocity 10 m/s at an angle 37^(@) to the horizontal. Find the location at which the particle is at a height 1 m from point of projection.

A particle of mass m is projected with speed u at an angle theta with the horizontal. Find the torque of the weight of the particle about the point of projection when the particle is at the highest point.

A particle is projected horizontally with speed u from the top of a plane inclined at an angle theta with the horizontal. How far from the point of projection will the particle strike the plane?

A ball is projected upwards from the top of a tower with a velocity 50ms^-1 making an angle 30^@ with the horizontal. The height of tower is 70m. After how many seconds from the instant of throwing, will the ball reach the ground. (g=10 ms^-2)

A particle of mass m has been thrown with intial speed u making angle theta with the horizontal ground. Find the angular momentum of the projectile about an axis perpendicular to the plane and passing through the point of projection when the projectile is (a) At the highest point (b) About to hit the ground

A particle is projected upwards with a velocity of 100 m//s at an angle of 60^(@) with the vertical. Find the time when the particle will move perpendicular to its initial direction, taking g = 10 m//s^(2) .

A particle is projected with a speed of 10 m/s at an angle 37^(@) with the vertical. Find (i) time of flight (ii) maximum height above ground (iii) horizontal range.

A ball is projected from ground in such a way that after 10 seconds of projection it lands on ground 500 m away from the point of projection. Find out :- (i) angle of projection (ii) velocity of projection (iii) Velocity of ball after 5 seconds

A ball is projected at an angle of 30^(@) above with the horizontal from the top of a tower and strikes the ground in 5s at an angle of 45^(@) with the horizontal. Find the height of the tower and the speed with which it was projected.

A ball is thrown from the ground to clear a wall 3 m high at a distance of 6 m and falls 18 m away from the wall. Find the angle of projection of ball.