NEET Motion in a Plane — Set 5

Question 1

What determines the time an object stays in the air during projectile motion from level ground?

Accepted Answer

The time of flight in projectile motion depends on the initial vertical velocity component ($ v_0 \sin \theta_0 $) and gravity ($ g $), as given by $ T_f = \frac{2 v_0 \sin \theta_0}{g} $. This reflects the time taken to rise and fall back to the ground.

Question 2

In uniform circular motion, what is true about the net force acting on the object?

Accepted Answer

The net force in uniform circular motion is the centripetal force, directed towards the center of the circle. It provides the centripetal acceleration necessary to maintain the circular path and is perpendicular to the velocity.

Question 3

In uniform circular motion, what is responsible for keeping the object in its circular path?

Accepted Answer

In uniform circular motion, a centripetal force is required to keep the object moving in a circular path. This force, directed towards the center, provides the necessary centripetal acceleration to change the direction of the velocity continuously.

NEET Physics: Motion in a Plane — Practice Set 5

Q1. What determines the time an object stays in the air during projectile motion from level ground?

Q2. In uniform circular motion, what is true about the net force acting on the object?

Q3. In uniform circular motion, what is responsible for keeping the object in its circular path?

Q4. A particle’s position is given by \( x = 5t - 3t^2 \) and \( y = 4t^2 \) (in meters and seconds). What is its speed at \( t = 1 \, \text{s} \)?

Q5. What is true about the acceleration vector of a projectile at its highest point?

Q6. A particle moves in a circle of radius \( 3 \, \text{m} \) with a speed of \( 12 \, \text{m/s} \). What is its centripetal acceleration?

Q7. In uniform circular motion, what is the relationship between the period of revolution and the frequency?

Q8. A stone is thrown horizontally at \( 9 \, \text{m/s} \) from a height of \( 78.4 \, \text{m} \). What is its horizontal range? (Take \( g = 9.8 \, \text{m/s}^2 \))

Q9. In uniform circular motion, what is true about the magnitude of the velocity?

Q10. A projectile is launched at \( 24 \, \text{m/s} \) at \( 30^\circ \). What is its time to reach maximum height? (Take \( g = 10 \, \text{m/s}^2, \sin 30^\circ = 0.5 \))