NEET Kinematics — Set 4

Question 1

A truck travels at a constant speed of $ 60 \, \text{km/h} $ for $ 15 \, \text{minutes} $. What is the distance covered?

Accepted Answer

Convert speed: $ 60 \, \text{km/h} = 60 \cdot \frac{1000}{3600} = \frac{50}{3} \, \text{m/s} $. Time = $ 15 \, \text{min} = 15 \cdot 60 = 900 \, \text{s} $. Distance $ x = v t = \frac{50}{3} \cdot 900 = 15000 \, \text{m} = 15 \, \text{km} $. The distance covered is $ 15 \, \text{km} $.

Question 2

A car decelerates uniformly from $ 18 \, \text{m/s} $ to rest in $ 6 \, \text{s} $. What is the distance covered?

Accepted Answer

Use $ a = \frac{v - v_0}{t} = \frac{0 - 18}{6} = -3 \, \text{m/s}^2 $. Distance $ x = v_0 t + \frac{1}{2} a t^2 = 18 \cdot 6 + \frac{1}{2} (-3) (6)^2 = 108 - 54 = 54 \, \text{m} $. The distance covered is $ 54 \, \text{m} $.

Question 3

A ball is thrown vertically upwards with a speed of $ 16 \, \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 = 16 \, \text{m/s} $, $ a = -10 \, \text{m/s}^2 $. Substitute: $ 0 = (16)^2 + 2 (-10) h \Rightarrow 0 = 256 - 20 h \Rightarrow h = \frac{256}{20} = 12.8 \, \text{m} $. The maximum height is $ 12.8 \, \text{m} $.

NEET Physics: Kinematics — Practice Set 4

Q1. A truck travels at a constant speed of \( 60 \, \text{km/h} \) for \( 15 \, \text{minutes} \). What is the distance covered?

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

Q3. A ball is thrown vertically upwards with a speed of \( 16 \, \text{m/s} \). What is the maximum height reached? (Take \( g = 10 \, \text{m/s}^2 \))

Q4. A truck traveling at \( 36 \, \text{km/h} \) stops in \( 5 \, \text{s} \) with uniform deceleration. What is the distance covered before stopping?

Q5. A ball is thrown upwards with a speed of \( 32 \, \text{m/s} \). What is the maximum height reached? (Take \( g = 10 \, \text{m/s}^2 \))

Q6. A runner moves at a constant speed of \( 4 \, \text{m/s} \) for \( 75 \, \text{s} \). What is the distance covered?

Q7. A car decelerates uniformly from \( 45 \, \text{m/s} \) to rest over a distance of \( 112.5 \, \text{m} \). What is the deceleration?

Q8. A car moves at \( 20 \, \text{m/s} \) and decelerates at \( 2 \, \text{m/s}^2 \) for \( 5 \, \text{s} \), then accelerates at \( 1 \, \text{m/s}^2 \) until it reaches \( 20 \, \text{m/s} \) again. What is the total distance covered?

Q9. A ball is thrown upwards at \( 25 \, \text{m/s} \) from a \( 60 \, \text{m} \) cliff. What is its speed when it hits the ground? (Take \( g = 10 \, \text{m/s}^2 \))

Q10. A ball is dropped from a height of \( 20 \, \text{m} \). What is its velocity just before hitting the ground? (Take \( g = 10 \, \text{m/s}^2 \))