Motion in a Plane, Projectile Motion and Uniform Circular Motion NEET Questions

Motion in a Plane, Projectile Motion and Uniform Circular Motion MCQ Questions

1.
For motion in a plane with constant acceleration, which statement is correct?
A.
Motion cannot be split into components
B.
x and y motions are independent of each other
C.
Only x-motion obeys kinematic equations
D.
Acceleration must be along x-axis
ANSWER :
B. x and y motions are independent of each other
2.
A particle starts from origin at t=0 with velocity 5.0 i-hat m/s and acceleration (3i-hat+2j-hat) m/s². Its x-coordinate when y=36 m is:
A.
84 m
B.
48 m
C.
60 m
D.
72 m
ANSWER :
A. 84 m
3.
For the particle in Q2 above (a=(3i-hat+2j-hat) m/s², v₀=5i-hat m/s), speed at t=6 s is:
A.
26 m/s
B.
23 m/s
C.
12 m/s
D.
35 m/s
ANSWER :
A. 26 m/s
4.
A particle moving in a circle of radius R with uniform speed takes time T to complete one revolution. If this particle is projected with the same speed at an angle θ to the horizontal, and the maximum height attained by it is 4R, then the angle of projection θ is:

NEET - 2021

A.
30°
B.
45°
C.
60°
D.
75°
ANSWER :
D. 75°
5.
The direction of velocity of an object at any point on its curved path is:
A.
Along the radius of curvature
B.
Perpendicular to the path
C.
Tangential to the path at that point
D.
Along the direction of acceleration
ANSWER :
C. Tangential to the path at that point
6.
A particle's position is r=(3t i-hat + 2t² j-hat) m. Its velocity at t=1 s is:
A.
3i-hat + 4j-hat m/s
B.
6i-hat + 2j-hat m/s
C.
3i-hat + 2j-hat m/s
D.
5i-hat m/s
ANSWER :
A. 3i-hat + 4j-hat m/s