Motion in a Plane Test

Result

Motion in a Plane Test - 10

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Weekly Quiz Competition

Question 1
4 / -1

A cart is moving horizontally along a straight line with constant speed 30 ms ^-1. 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 to the cart) must the projectile be fired? (take, g =10 ms ^-2)

A
10 ms ^-1

B
10√8 ms ^-1

C

D
None of these

Solution
Question 2
4 / -1

A

B

C

D

Solution
Question 3
4 / -1

A

B

C

D
zero

Solution
Question 4
4 / -1

For a particle in uniform circular motion, the acceleration a at a point P(R, θ) on the circle of radius R is (here θ is measured from the X–axis)

A

B

C

D

Solution
Question 5
4 / -1

A

B

C

D

Solution
Question 6
4 / -1

A particle is moving in a circle of radius R in such a way that at any instant the normal and tangential components of its acceleration are equal. If its speed at t = 0 is v₀, the time taken to complete the first revolution is

A

B

C

D

Solution
Question 7
4 / -1

A particle of mass m is projected from the ground with an initial speed u₀ at an angle with the horizontal. At the highest point of its trajectory, it makes a completely inelastic collision with another identical particle, which was thrown vertically upward from the ground with the same initial speed u₀. The angle that the composite system makes with the horizontal immediately after the collision is

A

B

C

D

Solution
Question 8
4 / -1

The path of projectile is given by the equation y = ax - bx² , where a and b are constants and x and y are respectively horizontal and vertical distances of projectile from the point of projection. The maximum height attained by the projectile and the angle of projection are respectively.

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B

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D

Solution
Question 9
4 / -1

A small particle of mass m is projected at an angle θ with the X–axis with an initial velocity v_o in the X–Y plane as shown in the figure. At a time

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B

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D

Solution
Question 10
4 / -1

A particle is projected with certain velocity at two different angles of projections with respect to horizontal plane so as to have same range R on a horizontal plane. If t₁ and t₂ are the time taken for the two paths, which one of the following relations is correct?

A

B

C

D

Solution