Kinematic Equations for Uniformly Accelerated Motion

IMPORTANT

Kinematic Equations for Uniformly Accelerated Motion: Overview

This topic covers concepts, such as Uniformly Accelerated Motion, Sign Convention in Accelerated Motion, Time Taken in Body Projected Upwards & Upward and Downward Projection from Height etc.

Important Questions on Kinematic Equations for Uniformly Accelerated Motion

EASY
IMPORTANT

A body starts from rest, what is the ratio of the distances traveled by the body during the 4th and 3rd seconds?

EASY
IMPORTANT

A boy standing at the top of a tower of 20 m height drops a stone. Assuming  g=10m s2, the velocity with which it hits the ground is

EASY
IMPORTANT

A particle has initial velocity (3 i ^ +4 j ^ ) and has acceleration (0.4 i ^ +0.3 j ^ ). Its speed after 10 s is:

EASY
IMPORTANT

A ball is dropped from a high rise platform at, t=0 starting from rest. After 6 s another ball is thrown downwards from the same platform with the speed v. The two balls meet at, t=18 s. What is the value of v(Take, g=10 m s-2 )

EASY
IMPORTANT

The position x of a particle with respect to time t along x-axis is given by, x=9t2t3 where, x is in meters and t is in seconds. What will be the position of this particle when it achieves maximum speed along the +ve x direction?

EASY
IMPORTANT

If a ball is thrown vertically upwards with speed u, the distance covered during the last t seconds of its ascent is

EASY
IMPORTANT

A stone is thrown vertically upwards with kinetic energy K. The kinetic energy at the highest point is

EASY
IMPORTANT

If a ball is thrown vertically upwards with a velocity of  40 m s-1 , then velocity of the ball after two seconds will be  (g=10 m s-2)

EASY
IMPORTANT

A car is moving along a straight road with a uniform acceleration. It passes through two points P and Q separated by a distance with velocity 30 km hr-1 and 40 km hr-1 respectively. The velocity of the car midway between P and Q is

EASY
IMPORTANT

A ship of mass  3×107 kg  initially at rest, is pulled by a force of 5×104 N  through a distance of 3 m. Assuming that the resistance due to water is negligible, the speed of the ship is

EASY
IMPORTANT

A ball is released from the top of a tower of height h metres. It takes T seconds to reach the ground. What is the position of the ball in T 3 seconds?

EASY
IMPORTANT

From a building two balls A and B are thrown such that A is thrown upwards and B downwards (both vertically with same speed). If   v A and   v B are their respective velocities on reaching the ground, then –

EASY
IMPORTANT

A boy is standing on an open lift moving upwards with speed 10 m s-1. The boy throws the ball with speed w.r.t. lift is 24.5 m s-1. In how much time the ball returns to the hand of boy? g=10 m s-2

EASY
IMPORTANT

In the graph shown α and β are the accelerations in two parts of journey then its maximum velocity is

Question Image

EASY
IMPORTANT

A particle is moving in a straight line with u=20 m s-1 in west and a=2 m s-2 in east. Find t after which its instantaneous velocity becomes zero.

EASY
IMPORTANT

An object takes 5 s to reach the ground from a height of 5 m on a planet. What is the value of g on the planet?

EASY
IMPORTANT

An object takes 5 s to reach the ground from a height of 5 m on a planet. What is the value of g on the planet?

EASY
IMPORTANT

For a body moving with uniform acceleration along straight line, the variation of its velocity v with position x is best represented by

EASY
IMPORTANT

A hail drop is falling freely due to gravity. It travels distances h1,h2 and h3 respectively in the first, second and third seconds of motion. The relation among h1, h2 and h3 is

EASY
IMPORTANT

If a body is thrown up with an initial velocity u and covers a maximum height of h, then h is equal to