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Class XI Physics Kinematics 8

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Question 1

A point P moves in counter-clockwise direction on a circular path as shown in the figure. The movement of P is such that it sweeps out a length s = t3 + 5, where s is in metres and t is in seconds. The radius of the path is 20 m. The acceleration of P when t = 2 s is nearly

Question 2

If retardation produced by air resistance to the projectile is one-tenth of the acceleration due to gravity, then the time to reach the maximum height will

Question 3

A particle is projected in vertical plane from horizontal surface, with speed of projection u and angle of projection θ above the horizontal.

Statement – 1
The horizontal range must be the farthest displacement of the particle from point of projection along the horizontal.
because
Statement – 2
The projectile is farthest distance from the point of projection, when its instantaneous velocity vector and position vector (w.r.t. point of projection) are mutually perpendicular.

Question 4

Two cars of masses m1 and m2 are moving in circles of radii r1 and r2, respectively. Their speeds are such that they make complete circles at the same time t. The ratio of their centripetal acceleration is

Question 5

A boy playing on the roof of a 10 m high building throws a ball with a speed of 10 m/s at an angle of 30° with the horizontal. How far from the throwing point will the ball be at the height of 10 m from the ground?
[g = 10 m/s2, sin 30° = ½, cos 30° = √3/2]

Question 6

A projectile can have the same range R for two angles of projection. If t1 and t2 be the times of flights in the two cases, then the product of the two time of flights is proportional to

Question 7

A particle is moving with velocity , where K is a constant. The general equation for its path is

Question 8

If T be the total time of flight of a current of water and H be the maximum height attained by it from the point of projection, then H/T will be - (u = projection velocity, θ = projection angle)
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Dec 23JEE & BITSAT