Motion in a Pla...

A cart is moving horizontally along a straight line with constant speed 30 m/s. A projectile is to be fired from the moving cart in such a way that it will return to the cart after the cart has moved 80 m. At what speed (relative the cart) must the projectile be fired? (take g = 10 m/s²)

A ball is projected horizontally with a velocity of 5 m/s from the top of a building 19.6 m high. How long will the ball take to hit the ground?

A boy can throw a stone up to a maximum height of 10 m. The maximum horizontal distance that the boy car throw the same stone upto will be

A projectile moves from the ground such that its horizontal displacement is x = Kt and vertical displacement is y = kt(1 – αt), where K and α are constants and t is time. Find out total time of flight (T) and maximum height attained (Y_max) its

A projectile is projected with velocity V₀ along x-axis. The deceleration on the particle is proportional to the square of the distance from the origin i.e., a = αx², the distance at which the particle stops is

The angle of projection at which the horizontal range and maximum height of projectile are equal is

A body is fired vertically upward. At half the maximum height, the velocity of the body is 10 m/s. The maximum height raised by the body is

A body is thrown upward from the Earth surface with velocity 5 m/s and from a planet surface with velocity 3 m/s. Both follow the same path. What is the projectile acceleration due to gravity on the planet?

A cricketer hits a ball with a velocity 25 m/s at 60^o above the horizontal. How for above the ground it passes over a fielder 50 m from the bat (assume the ball is struck very close to the ground)

A bullet is fired with a velocity u making an angle of 60^o with the horizontal plane. The horizontal component of the velocity of the bullet when it reaches the maximum height is