NEET Kinematics — Set 12

Question 1

A ball is dropped from a height of $ 80 \, \text{m} $. What is its velocity just before hitting the ground? (Take $ g = 10 \, \text{m/s}^2 $)

Accepted Answer

Use $ v^2 = v_0^2 + 2 g y $. Here, $ v_0 = 0 $, $ g = 10 \, \text{m/s}^2 $, $ y = 80 \, \text{m} $. Substitute: $ v^2 = 0 + 2 \cdot 10 \cdot 80 = 1600 \Rightarrow v = \sqrt{1600} = 40 \, \text{m/s} $. The velocity is $ 40 \, \text{m/s} $.

Question 2

A particle accelerates uniformly from $ 6 \, \text{m/s} $ to $ 18 \, \text{m/s} $ in $ 3 \, \text{s} $. What is the distance covered?

Accepted Answer

Find $ a = \frac{v - v_0}{t} = \frac{18 - 6}{3} = 4 \, \text{m/s}^2 $. Use $ x = v_0 t + \frac{1}{2} a t^2 = 6 \cdot 3 + \frac{1}{2} \cdot 4 \cdot (3)^2 = 18 + 18 = 36 \, \text{m} $. The distance covered is $ 36 \, \text{m} $.

Question 3

A train moves with a constant speed of $ 108 \, \text{km/h} $ for $ 2 \, \text{min} $. What is the distance traveled?

Accepted Answer

Convert speed: $ 108 \, \text{km/h} = 108 \cdot \frac{1000}{3600} = 30 \, \text{m/s} $. Time = $ 2 \, \text{min} = 120 \, \text{s} $. Distance $ x = v t = 30 \cdot 120 = 3600 \, \text{m} = 3.6 \, \text{km} $. The distance traveled is $ 3.6 \, \text{km} $.

NEET Physics: Kinematics — Practice Set 12

Q1. A ball is dropped from a height of \( 80 \, \text{m} \). What is its velocity just before hitting the ground? (Take \( g = 10 \, \text{m/s}^2 \))

Q2. A particle accelerates uniformly from \( 6 \, \text{m/s} \) to \( 18 \, \text{m/s} \) in \( 3 \, \text{s} \). What is the distance covered?

Q3. A train moves with a constant speed of \( 108 \, \text{km/h} \) for \( 2 \, \text{min} \). What is the distance traveled?

Q4. A body accelerates uniformly from \( 4 \, \text{m/s} \) to \( 16 \, \text{m/s} \) in \( 6 \, \text{s} \). What is the distance covered?

Q5. A person walks \( 10 \, \text{m} \) in \( 2 \, \text{s} \) and returns to the starting point in \( 2 \, \text{s} \). What is the average speed?

Q6. A body moving at \( 15 \, \text{m/s} \) decelerates uniformly to rest in \( 5 \, \text{s} \). What is the distance covered?

Q7. A car accelerates from rest at \( 5 \, \text{m/s}^2 \) for \( 4 \, \text{s} \), then decelerates at \( 2.5 \, \text{m/s}^2 \) until its speed is \( 10 \, \text{m/s} \). What is the total distance covered?

Q8. A ball is thrown upwards at \( 50 \, \text{m/s} \) from a \( 25 \, \text{m} \) tower. What is the time taken to reach a point \( 20 \, \text{m} \) above the ground? (Take \( g = 10 \, \text{m/s}^2 \))

Q9. A car moves at \( 15 \, \text{m/s} \) and decelerates at \( 3 \, \text{m/s}^2 \) for \( 3 \, \text{s} \), then accelerates at \( 2 \, \text{m/s}^2 \) for \( 6 \, \text{s} \). What is the net displacement?

Q10. A car moving at \( 20 \, \text{m/s} \) decelerates uniformly and stops after traveling \( 50 \, \text{m} \). What is the deceleration?