Motion in a Pla...

A particle is thrown with velocity u making an angle θ with the vertical. It just crosses the top of two poles each of height h after 1s and 3s respectively. The maximum height of projectile is

Three forces of magnitudes 6 N, 6 N and √72N act at a corner of a cube along three sides as shown in Fig. Resultant of these forces is

A boy throws a ball upwards with velocity u = 15 ms^–1. The wind imparts a horizontal acceleration of 3 ms^–2 to the left. The angle θ at which the ball must be thrown so that the ball returns to the boy’s hand is (use g = 10 ms^–2)

A swimmer crosses a flowing stream of width d to and fro in time t₁ . The time taken to cover the same distance up and down the stream is t₂. Then the time the swimmer would take to swim a distance 2 d in still water is

Time taken by the projectile to reach from A to B is t, then the distance AB is equal to

Average torque on a projectile of mass m, initial speed u and angle of projection θ, between initial and final position P and Q as shown in Fig. about the point of projection is

A rod of length l slides down along the inclined wall as shown in Fig. At the instant shown in figure, the speed of the end P is v, then the speed of Q will be

A particle A is projected from the ground with an initial velocity of 10 m/s at an angle of 60^o with horizontal. From what height should an another particle B be projected horizontally with velocity 5 m/s so that both the particles collide in ground at point C if both are projected simultaneously g = 10 m/s²