NEET Kinematics — Set 1

Question 1

A train moving at $ 54 \, \text{km/h} $ accelerates at $ 1 \, \text{m/s}^2 $ for $ 10 \, \text{s} $, then decelerates at $ 2 \, \text{m/s}^2 $ to rest. What is the total distance covered?

Accepted Answer

Speed: $ 54 \, \text{km/h} = 15 \, \text{m/s} $. Phase 1: $ v = 15 + 1 \cdot 10 = 25 \, \text{m/s} $, $ x_1 = 15 \cdot 10 + \frac{1}{2} \cdot 1 \cdot (10)^2 = 150 + 50 = 200 \, \text{m} $. Phase 2: $ t = \frac{25}{2} = 12.5 \, \text{s} $, $ x_2 = 25 \cdot 12.5 - \frac{1}{2} \cdot 2 \cdot (12.5)^2 = 312.5 - 156.25 = 156.25 \, \text{m} $. Total = $ 200 + 156.25 = 356.25 \, \text{m} $.

Question 2

A bike moving at $ 126 \, \text{km/h} $ decelerates uniformly and stops in $ 7 \, \text{s} $. What is the magnitude of deceleration?

Accepted Answer

Convert speed: $ 126 \, \text{km/h} = 126 \cdot \frac{1000}{3600} = 35 \, \text{m/s} $. Use $ a = \frac{v - v_0}{t} $. Here, $ v = 0 $, $ v_0 = 35 \, \text{m/s} $, $ t = 7 \, \text{s} $. Substitute: $ a = \frac{0 - 35}{7} = -5 \, \text{m/s}^2 $. Magnitude of deceleration is $ 5 \, \text{m/s}^2 $.

Question 3

A car moving at $ 40 \, \text{m/s} $ decelerates uniformly to rest in $ 8 \, \text{s} $. What is the distance covered?

Accepted Answer

Find $ a = \frac{v - v_0}{t} = \frac{0 - 40}{8} = -5 \, \text{m/s}^2 $. Use $ x = v_0 t + \frac{1}{2} a t^2 = 40 \cdot 8 + \frac{1}{2} (-5) (8)^2 = 320 - 160 = 160 \, \text{m} $. The distance covered is $ 160 \, \text{m} $.

NEET Physics: Kinematics — Practice Set 1

Q1. A train moving at \( 54 \, \text{km/h} \) accelerates at \( 1 \, \text{m/s}^2 \) for \( 10 \, \text{s} \), then decelerates at \( 2 \, \text{m/s}^2 \) to rest. What is the total distance covered?

Q2. A bike moving at \( 126 \, \text{km/h} \) decelerates uniformly and stops in \( 7 \, \text{s} \). What is the magnitude of deceleration?

Q3. A car moving at \( 40 \, \text{m/s} \) decelerates uniformly to rest in \( 8 \, \text{s} \). What is the distance covered?

Q4. A person walks \( 6 \, \text{m} \) in \( 3 \, \text{s} \) and then walks back \( 2 \, \text{m} \) in \( 1 \, \text{s} \). What is the average speed?

Q5. A vehicle accelerates uniformly from rest at \( 1.2 \, \text{m/s}^2 \) for \( 10 \, \text{s} \). What is the final velocity?

Q6. A car moving at \( 90 \, \text{km/h} \) decelerates uniformly and stops in \( 12 \, \text{s} \). What is the magnitude of deceleration?

Q7. A stone is dropped from rest. What is its velocity after falling \( 61.25 \, \text{m} \)? (Take \( g = 10 \, \text{m/s}^2 \))

Q8. A stone is dropped from rest. What is the distance covered in the 6th second of its fall? (Take \( g = 10 \, \text{m/s}^2 \))

Q9. A train accelerates uniformly from \( 15 \, \text{m/s} \) to \( 35 \, \text{m/s} \) in \( 8 \, \text{s} \). What is the distance covered?

Q10. A stone falls freely from a height of \( 45 \, \text{m} \). How long does it take to reach the ground? (Take \( g = 10 \, \text{m/s}^2 \))

Q11. A stone is thrown upwards with a speed of \( 20 \, \text{m/s} \). What is its velocity after \( 3 \, \text{s} \)? (Take \( g = 10 \, \text{m/s}^2 \))

Q12. A body accelerates uniformly from rest to \( 28 \, \text{m/s} \) over a distance of \( 98 \, \text{m} \). What is the acceleration?

Q13. A truck moves with a constant speed of \( 15 \, \text{m/s} \) for \( 40 \, \text{s} \). What is the distance covered?

Q14. A train moving at \( 108 \, \text{km/h} \) accelerates at \( 1.2 \, \text{m/s}^2 \) for \( 10 \, \text{s} \), then decelerates at \( 3 \, \text{m/s}^2 \) to rest. What is the total distance covered?

Q15. A rocket accelerates from rest at \( 7 \, \text{m/s}^2 \) for \( 4 \, \text{s} \), then moves at constant speed for \( 6 \, \text{s} \). What is the total distance covered?