Motion in a Plane Test

Result

Motion in a Plane Test - 39

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Weekly Quiz Competition

Question 1
4 / -1

Neglecting the air resistance, the time of flight of a projectile is determined by

A

B

C

D

Solution
Question 2
4 / -1

A ball is thrown from a point with a speed v₀ at an angle of projection θ. From the same point and at the same instant a person starts running with a constant speed v₀/2 to catch the ball. Will the person be able to catch the ball? If yes, what should be the angle of projection?

A
Yes, 60^o

B
Yes, 30^o

C
No

D
Yes, 45^o

Solution
Question 3
4 / -1

A stone is thrown at an angle θ to the horizontal reaches a maximum height H. Then, the time of flight of stone will be

A

B

C

D

Solution
Question 4
4 / -1

At what point of a projectile motion acceleration and velocity are perpendicular to each other?

A
At the point of projection

B
At the point of drop

C
At the topmost point

D
Any where in between the point of projection and topmost point
Question 5
4 / -1

An object is projected at an angle of 45^o with the horizontal range and maximum height reached will be in the ratio

A
1 : 2

B
2 : 1

C
1 : 4

D
4 : 1

Solution
Question 6
4 / -1

A projectile is projected with a speed u making an angle 2θ with the horizontal. What is the speed when its direction of motion makes an angle θ with the horizontal

A

B

C

D

Solution
Question 7
4 / -1

Two bodies are projected from ground with equal speeds 20 m/sec from the same position in same vertical plane to have equal range but at different angle above the horizontal. If one of the angle is 30^o the sum of their maximum heights is (assume g = 10 m/s²)

A
400 m

B
20 m

C
30 m

D
40 m

Solution
Question 8
4 / -1

The coordinates of moving particle at any \'t\' are given by x = αt³ and y = βt³. The speed of the particle at time \'t\' is given by

A

B

C

D

Solution
Question 9
4 / -1

A ball is projected from the ground at a speed of 10 ms^–1 making an angle of 30^o with the horizontal. Another ball is simultaneously released from a point on the vertical line along the maximum height of the projectile. Both the balls collide at the maximum height of first ball. The initial height of the second ball is (g = 10 ms^–2)

A
6.25 m

B
2.5 m

C
3.75 m

D
5 m

Solution
Question 10
4 / -1

A projectile is projected with kinetic energy K. If it has the maximum possible horizontal range, then its kinetic energy at the highest point will be

A
0.25 K

B
0.5 K

C
0.75 K

D
1.0 K

Solution