NEET Kinematics — Set 2

Question 1

A ball is thrown upwards with a speed of $ 22 \, \text{m/s} $. What is its velocity after $ 1 \, \text{s} $? (Take $ g = 10 \, \text{m/s}^2 $)

Accepted Answer

Use $ v = v_0 + a t $. Here, $ v_0 = 22 \, \text{m/s} $, $ a = -10 \, \text{m/s}^2 $, $ t = 1 \, \text{s} $. Substitute: $ v = 22 - 10 \cdot 1 = 12 \, \text{m/s} $. The velocity is $ 12 \, \text{m/s} $.

Question 2

A ball is dropped from a height of $ 31.25 \, \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 = 31.25 \, \text{m} $. Substitute: $ v^2 = 0 + 2 \cdot 10 \cdot 31.25 = 625 \Rightarrow v = \sqrt{625} = 25 \, \text{m/s} $. The velocity is $ 25 \, \text{m/s} $.

Question 3

A balloon descends at $ 8 \, \text{m/s} $ and releases a stone. If the stone hits the ground after $ 5 \, \text{s} $, what was the height of the balloon? (Take $ g = 10 \, \text{m/s}^2 $)

Accepted Answer

Initial velocity = $ -8 \, \text{m/s} $ (upward positive). $ y = v_0 t + \frac{1}{2} g t^2 $, $ y = -8 \cdot 5 + \frac{1}{2} \cdot 10 \cdot (5)^2 = -40 + 125 = 85 \, \text{m} $. Height = $ 85 \, \text{m} $.

NEET Physics: Kinematics — Practice Set 2

Q1. A ball is thrown upwards with a speed of \( 22 \, \text{m/s} \). What is its velocity after \( 1 \, \text{s} \)? (Take \( g = 10 \, \text{m/s}^2 \))

Q2. A ball is dropped from a height of \( 31.25 \, \text{m} \). What is its velocity just before hitting the ground? (Take \( g = 10 \, \text{m/s}^2 \))

Q3. A balloon descends at \( 8 \, \text{m/s} \) and releases a stone. If the stone hits the ground after \( 5 \, \text{s} \), what was the height of the balloon? (Take \( g = 10 \, \text{m/s}^2 \))

Q4. A balloon ascends at \( 7 \, \text{m/s} \) and releases a stone after \( 4 \, \text{s} \). If the stone hits the ground \( 5 \, \text{s} \) later, what was the initial height of the balloon? (Take \( g = 10 \, \text{m/s}^2 \))

Q5. A body accelerates uniformly from rest to \( 14 \, \text{m/s} \) over a distance of \( 49 \, \text{m} \). What is the acceleration?

Q6. A lift descends at \( 3 \, \text{m/s} \) and decelerates at \( 2 \, \text{m/s}^2 \) to stop. If a ball is dropped \( 1 \, \text{s} \) after deceleration begins, how far does it fall relative to the ground in \( 2 \, \text{s} \)? (Take \( g = 10 \, \text{m/s}^2 \))

Q7. A stone is dropped from rest. What is the distance covered in the 4th second of its fall? (Take \( g = 10 \, \text{m/s}^2 \))

Q8. A stone is dropped from a balloon ascending at \( 12 \, \text{m/s} \). If it hits the ground after \( 6 \, \text{s} \), what was the height of the balloon at the moment of release? (Take \( g = 10 \, \text{m/s}^2 \))

Q9. A body accelerates uniformly from \( 5 \, \text{m/s} \) to \( 15 \, \text{m/s} \) in \( 5 \, \text{s} \). What is the distance covered?

Q10. A lift ascends at \( 4 \, \text{m/s} \) and decelerates at \( 2 \, \text{m/s}^2 \) to stop. If a ball is dropped \( 1.5 \, \text{s} \) after deceleration starts, how far does it fall relative to the ground in \( 1 \, \text{s} \)? (Take \( g = 10 \, \text{m/s}^2 \))

Q11. A ball is thrown upwards with a speed of \( 45 \, \text{m/s} \). What is the time to reach the maximum height? (Take \( g = 10 \, \text{m/s}^2 \))

Q12. A ball is dropped from a tower. After \( 2 \, \text{s} \), its velocity is \( 19.6 \, \text{m/s} \). What is the acceleration due to gravity?

Q13. A ball is thrown upwards with a speed of \( 55 \, \text{m/s} \). What is the time to reach the maximum height? (Take \( g = 10 \, \text{m/s}^2 \))

Q14. A body accelerates uniformly from rest to \( 16 \, \text{m/s} \) in \( 8 \, \text{s} \). What is the distance covered?

Q15. A ball is dropped from a height of \( 100 \, \text{m} \) on a planet where \( g = 5 \, \text{m/s}^2 \). What is the ratio of the distance covered in the 2nd second to the 1st second?