Motion in a Plane Test

Result

Motion in a Plane Test - 36

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Weekly Quiz Competition

Question 1
4 / -1

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
10 m/s

B
10√8 m/s

C
40/3 m/s

D
None of these

Solution
Question 2
4 / -1

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
√2 s

B
2 s

C
√3 s

D
3 s

Solution
Question 3
4 / -1

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
20√2 m

B
10 m

C
10√2 m

D
20 m

Solution
Question 4
4 / -1

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

B

C

D

Solution
Question 5
4 / -1

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

A

B

C

D

Solution
Question 6
4 / -1

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

A
45^o

B

C

D
60^o

Solution
Question 7
4 / -1

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
0 m

B
10 m

C
15 m

D
20 m

Solution
Question 8
4 / -1

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
2 m/s²

B
3.5 m/s²

C
4 m/s²

D
5 m/s²

Solution
Question 9
4 / -1

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
8.2 m

B
9.0 m

C
11.6 m

D
12.7 m

Solution
Question 10
4 / -1

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

A
u

B
0

C

D
u/2

Solution