2025
Q1. A particle starts from rest and moves with constant acceleration. Derive the relation between displacement, initial velocity, acceleration, and time.
Q2. A body travels 20 m in the first 2 s and 44 m in the next 2 s. Find its acceleration and initial velocity.
Q3. A particle moves along a straight line with velocity v=5t−2. Find the displacement in 0 ≤ t ≤ 4 s.
2024
Q1. Explain the graphical method to determine velocity and acceleration from a displacement-time graph.
Q2. A car accelerates uniformly from 36 km/h to 72 km/h in 10 s. Calculate the acceleration and distance covered.
Q3. A body is thrown vertically upward with velocity 20 m/s. Find maximum height and time of flight.
2023
Q1. Define average velocity and instantaneous velocity with examples.
Q2. A train accelerates from rest at 1 m/s² for 10 s and then moves at constant velocity. Find distance covered in 20 s.
Q3. A body moves with velocity v=u+at. Derive expression for displacement in terms of u, a, and t.
2022
Q1. Derive the equation v2=u2+2as for motion under constant acceleration.
Q2. A particle moves along a straight line with velocity v=3t2+2t. Find acceleration at t = 2 s.
Q3. A body is projected horizontally from a height of 80 m with speed 10 m/s. Find time of flight and horizontal range.
2021
Q1. Explain relative velocity in one dimension with an example.
Q2. Two bodies start from same point with uniform velocities 10 m/s and 15 m/s. Find distance between them after 8 s.
Q3. A particle moves with acceleration a=6t. If initial velocity is zero, find velocity and displacement as a function of time.
2020
Q1. Define scalar and vector quantities. Give examples in kinematics.
Q2. A particle moves in a straight line with displacement x=2t2+3t. Find velocity and acceleration at t = 2 s.
Q3. A stone is thrown vertically upward with velocity 15 m/s. Find time to reach maximum height and total displacement after 2 s.
2019
Q1. A body starts from rest and accelerates at 2 m/s². Find velocity after 5 s and distance traveled.
Q2. Explain motion with uniform acceleration using velocity-time graph.
Q3. A car moves along a straight road such that its displacement x=5t+2t2. Find instantaneous velocity at t = 3 s.
2018
Q1. A particle covers distances 5 m and 7 m in first and next 2 s respectively. Find acceleration and initial velocity.
Q2. A body falls freely from rest. Find displacement in nth second.
Q3. Derive the equation s=ut+21at2.
2017
Q1. Define uniform motion and uniformly accelerated motion with examples.
Q2. A body moves with acceleration 4 m/s² from rest. Find distance covered in 5 s.
Q3. A body is projected vertically upward with 20 m/s. Find time to reach maximum height.
2016
Q1. Derive displacement equation for motion with uniform acceleration.
Q2. A particle moves along x-axis such that x=3t2+2t. Find velocity and acceleration at t = 2 s.
Q3. A car accelerates uniformly from 10 m/s to 30 m/s in 5 s. Find acceleration and distance covered.
2015
Q1. A particle moves along a straight line with velocity v=5t−t2. Find acceleration at t = 2 s.
Q2. Derive the relation between displacement and velocity for uniformly accelerated motion.
Q3. A body is projected horizontally from height 45 m with speed 15 m/s. Find time of flight and horizontal range.
2014
Q1. Define instantaneous velocity and average velocity with formulas.
Q2. A body starts from rest and accelerates uniformly at 3 m/s². Find distance covered in 4 s.
Q3. A stone is thrown vertically upward with speed 25 m/s. Find maximum height and total time of flight.
2013
Q1. Define scalar and vector quantities in kinematics with examples.
Q2. A particle moves along a straight line with uniform acceleration. If initial velocity is 5 m/s and acceleration 2 m/s², find velocity after 3 s.
Q3. A body is projected horizontally from a cliff 80 m high. Calculate time of flight and horizontal distance if speed is 10 m/s.