The driver of a car moving towards a rocket launching pad with a speed of 6ms¯¹ observed that the rocket is moving with speed of 10ms¯¹ . The upward speed of the rocket as seen by the stationary observer is nearly
A bomb is released by a horizontal flying aeroplane. The trajectory of the bomb is
A cricketer can throw a ball to a maximum horizontal distance of 100 m. How high above the ground can the cricketer throw the same ball?
Which of the following is true regarding projectile motion?
An aeroplane flying horizontally with a speed of 360 km-1 releases a bomb at a height of 490 m from the ground. If g = 9.8 m s-2, it will strike the ground at
Galileo writes that for angles of projection of a projectile at angles (45°+θ) and (45°-θ), the horizontal ranges described by the projectile are in the ratio of (if θ≥45°)
The ceiling of a hall is 40 m high. For maximum horizontal distance, the angle at which the ball may be thrown with a speed of 56 m s-1 without hitting the ceiling of the hall is
Two projectiles are fired from the same point with the same speed at angles of projection 60°and 30° Which one of the following is true?
Two balls are projected at an angle θ and (90°-θ) to the horizontal with the same speed. The ration of their maximum vertical heights is
Two particles are projected simultaneously in the same vertical plane, from the same point, both with different speeds and at different angles with horizontal. The path followed by one, as seen by the other, is
Centripetal acceleration is
A cyclist is riding with a speed of 27 km h_1 . As he approaches a circular turn on the road of radius 80 m, he applies brakes and reduces his speed at the constant rate of 0.05 m s-1 every second. The net acceleration of the cyclist on the circular turn is
A particle is moving on a circular path of radius r with uniform speed v. What is the displacement of the particle after it has described an angle of 60°?
Velocity vector and acceleration vector in a uniform circular motion are related as
On an open ground, a motorist follows a track that turns to his left by an angle of 60° after every 500 m. Starting from a given turn, the displacement of the motorist at the third turn is
A fighter plane is flying horizontally at an altitude of 1.5 km with speed 720 km h-1. At what angle of sight (w.r.t. horizontal) when the target is seen, should the pilot drop the bomb in order to attack the target?
(Take g=10ms¯²,tan23°=0.43 )
A girl riding a bicycle with a speed of 5 m s-1 towards north direction, observes rain falling vertically down. If she increases her speed to 10 m s-1, rain appears to meet her at 45° to the vertical. What is the speed of the rain?
A cricketer can throw a ball to a maximum horizontal distance of 100m. With the same speed how much high above the ground can the cricketer throw the same ball?
A hiker stands on the edge of a cliff 490 m above the ground and throw a stone horizontally with a speed of 15 m s-1. The time taken by the stone to reach the ground is
A cricketer ball is thrown at a speed of 30 m s-1 a direction 30° above the horizontal. The time taken by the ball to return to the same level is. (Take g = 10 m s-2)