NEET Kinematics — Set 6

Question 1

A particle accelerates uniformly from rest to $ 18 \, \text{m/s} $ in $ 9 \, \text{s} $. What is the distance covered?

Accepted Answer

Find $ a = \frac{v - v_0}{t} = \frac{18 - 0}{9} = 2 \, \text{m/s}^2 $. Use $ x = v_0 t + \frac{1}{2} a t^2 = 0 \cdot 9 + \frac{1}{2} \cdot 2 \cdot (9)^2 = 0 + 1 \cdot 81 = 81 \, \text{m} $. The distance covered is $ 81 \, \text{m} $.

Question 2

A ball is thrown upwards with a speed of $ 40 \, \text{m/s} $. What is the maximum height it reaches? (Take $ g = 10 \, \text{m/s}^2 $)

Accepted Answer

Use $ v^2 = v_0^2 + 2 a h $. At max height, $ v = 0 $, $ v_0 = 40 \, \text{m/s} $, $ a = -10 \, \text{m/s}^2 $. Substitute: $ 0 = (40)^2 + 2 (-10) h \Rightarrow 0 = 1600 - 20 h \Rightarrow h = \frac{1600}{20} = 80 \, \text{m} $. The maximum height is $ 80 \, \text{m} $.

Question 3

A ball is thrown vertically upwards with a speed of $ 12 \, \text{m/s} $. What is the maximum height reached? (Take $ g = 10 \, \text{m/s}^2 $)

Accepted Answer

Use $ v^2 = v_0^2 + 2 a h $. At max height, $ v = 0 $, $ v_0 = 12 \, \text{m/s} $, $ a = -10 \, \text{m/s}^2 $. Substitute: $ 0 = (12)^2 + 2 (-10) h \Rightarrow 0 = 144 - 20 h \Rightarrow h = \frac{144}{20} = 7.2 \, \text{m} $. The maximum height is $ 7.2 \, \text{m} $.

NEET Physics: Kinematics — Practice Set 6

Q1. A particle accelerates uniformly from rest to \( 18 \, \text{m/s} \) in \( 9 \, \text{s} \). What is the distance covered?

Q2. A ball is thrown upwards with a speed of \( 40 \, \text{m/s} \). What is the maximum height it reaches? (Take \( g = 10 \, \text{m/s}^2 \))

Q3. A ball is thrown vertically upwards with a speed of \( 12 \, \text{m/s} \). What is the maximum height reached? (Take \( g = 10 \, \text{m/s}^2 \))

Q4. A stone is dropped from a cliff and takes \( 5 \, \text{s} \) to hit the ground. What is the height of the cliff? (Take \( g = 10 \, \text{m/s}^2 \))

Q5. A particle moves with a uniform acceleration of \( 2 \, \text{m/s}^2 \) starting from rest. What is its velocity after traveling \( 18 \, \text{m} \)?

Q6. A car moves at \( 18 \, \text{m/s} \) and decelerates at \( 2 \, \text{m/s}^2 \) for \( 4 \, \text{s} \), then accelerates at \( 3 \, \text{m/s}^2 \) for \( 5 \, \text{s} \). What is the net displacement?

Q7. A ball is thrown upwards at \( 18 \, \text{m/s} \) from a \( 32 \, \text{m} \) tower. What is its speed when it passes the tower’s base on the way down? (Take \( g = 10 \, \text{m/s}^2 \))

Q8. Two stones are dropped from a height of \( 245 \, \text{m} \), with a \( 3 \, \text{s} \) interval. What is their separation when the second stone has fallen for \( 4 \, \text{s} \)? (Take \( g = 10 \, \text{m/s}^2 \))

Q9. A stone falls freely from a height and reaches the ground with a velocity of \( 19.6 \, \text{m/s} \). What is the height? (Take \( g = 9.8 \, \text{m/s}^2 \))

Q10. An object is dropped from a height of \( 19.6 \, \text{m} \) above the ground. How long does it take to reach the ground? (Take \( g = 9.8 \, \text{m/s}^2 \))