NEET Kinematics — Set 21

Question 1

A cyclist travels at a constant speed of $ 18 \, \text{km/h} $ for $ 10 \, \text{minutes} $. What is the distance covered?

Accepted Answer

Convert speed: $ 18 \, \text{km/h} = 18 \cdot \frac{1000}{3600} = 5 \, \text{m/s} $. Time = $ 10 \, \text{min} = 10 \cdot 60 = 600 \, \text{s} $. Distance $ x = v t = 5 \cdot 600 = 3000 \, \text{m} = 3 \, \text{km} $. The distance covered is $ 3 \, \text{km} $.

Question 2

A train starts from rest and accelerates uniformly at $ 0.5 \, \text{m/s}^2 $ for $ 20 \, \text{s} $. What is the final velocity?

Accepted Answer

Use the equation $ v = v_0 + a t $. Here, initial velocity $ v_0 = 0 $, acceleration $ a = 0.5 \, \text{m/s}^2 $, time $ t = 20 \, \text{s} $. Substitute: $ v = 0 + 0.5 \cdot 20 = 10 \, \text{m/s} $. The final velocity is $ 10 \, \text{m/s} $.

Question 3

A ball is dropped from rest. What is its velocity after falling for $ 1.5 \, \text{s} $? (Take $ g = 10 \, \text{m/s}^2 $)

Accepted Answer

Use $ v = v_0 + g t $. Here, $ v_0 = 0 $, $ g = 10 \, \text{m/s}^2 $, $ t = 1.5 \, \text{s} $. Substitute: $ v = 0 + 10 \cdot 1.5 = 15 \, \text{m/s} $. The velocity is $ 15 \, \text{m/s} $.

NEET Physics: Kinematics — Practice Set 21

Q1. A cyclist travels at a constant speed of \( 18 \, \text{km/h} \) for \( 10 \, \text{minutes} \). What is the distance covered?

Q2. A train starts from rest and accelerates uniformly at \( 0.5 \, \text{m/s}^2 \) for \( 20 \, \text{s} \). What is the final velocity?

Q3. A ball is dropped from rest. What is its velocity after falling for \( 1.5 \, \text{s} \)? (Take \( g = 10 \, \text{m/s}^2 \))

Q4. A train moving at \( 90 \, \text{km/h} \) accelerates at \( 0.8 \, \text{m/s}^2 \) for \( 15 \, \text{s} \), then decelerates at \( 2.5 \, \text{m/s}^2 \) to rest. What is the total distance covered?

Q5. A parachutist falls freely for \( 2.5 \, \text{s} \) before opening the parachute, then decelerates at \( 4 \, \text{m/s}^2 \) to hit the ground at \( 5 \, \text{m/s} \). What is the total time of descent? (Take \( g = 10 \, \text{m/s}^2 \))

Q6. A car accelerates from \( 5 \, \text{m/s} \) at \( 2 \, \text{m/s}^2 \) for \( 6 \, \text{s} \), then moves at constant speed for \( 3 \, \text{s} \). What is the average speed over this time?

Q7. A ball is thrown upwards with \( 25 \, \text{m/s} \) from the ground. What is the maximum height reached? (Take \( g = 10 \, \text{m/s}^2 \))

Q8. A ball is thrown vertically upwards with an initial speed of \( 28 \, \text{m/s} \). What is the total time of flight? (Take \( g = 10 \, \text{m/s}^2 \))

Q9. A car moving at \( 72 \, \text{km/h} \) is brought to rest in \( 4 \, \text{s} \) by applying brakes. What is the retardation?

Q10. A car moving at \( 22 \, \text{m/s} \) decelerates uniformly to rest in \( 5 \, \text{s} \). What is the distance covered?