Kinematic Equations of Motion with Uniform Acceleration

An object moving with uniform acceleration has a velocity of $12.0 \mathrm{cm} {\mathrm{s}}^{-1}$ in the positive $x$ direction when its $x$ coordinate is $3.00 \mathrm{cm}$. If its $x$ coordinates $2.00 \mathrm{s}$ later is $-5 \mathrm{cm}$, what is its acceleration?

At a distance $L=400 \mathrm{m}$ from the traffic light brakes are applied to a locomotive moving at a velocity $v=54 \mathrm{km} {\mathrm{hr}}^{-1}$. Determine the position of the locomotive relative to the traffic light $1$ minute after the application of the brakes if its acceleration is $- 0.3 \mathrm{m} {\mathrm{s}}^{-2}$.

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

A boy standing at the top of a tower of 20 m height drops a stone. Assuming  $g=10\mathrm{\hspace{0.17em}}\mathrm{m} {\mathrm{s}}^{-2}\hspace{0.17em},\hspace{0.17em}$ the velocity with which it hits the ground is

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

The position $x$ of a particle with respect to time $t$ along $x$-axis is given by, $x=9t^2-t^3$ 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?

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

A car moving with a speed of $40 \mathrm{km} {\mathrm{h}}^{-1}$ can be stopped by applying brakes at least after $2 \mathrm{m}$. If the same car is moving with a speed of $80 \mathrm{km} {\mathrm{h}}^{-1}$, what is the minimum stopping distance?

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 $30{\text{\hspace{0.17em}km hr}}^{-1}$ and $40{\text{\hspace{0.17em}km hr}}^{-1}$ respectively. The velocity of the car midway between $P$ and $Q$ is

A ship of mass  $3\times {10}^7 \mathrm{kg}$  initially at rest, is pulled by a force of $5\times {10}^4 \mathrm{N}$  through a distance of $3 \mathrm{m}$. Assuming that the resistance due to water is negligible, the speed of the ship is

A ball is dropped vertically from a height $d$ above the ground. It hits the ground and bounces up vertically to a height $\frac{d}{2}$. Neglecting subsequent motion and air resistance, its velocity $v$ varies with the height $h$ above the ground as

The nth second can be any second from 0s to ____________?

The distance travelled by a body in the nth second is given by the expression _____?

The dimension of displacement in nth second of a body at a particular second n is given by the expression Snth=u+(2n-1)?

What is the difference between nth second and n second?

A body travelled with an initial speed of $3 \mathrm{m}/\mathrm{s}$. The body is decelerating at a rate of $1.5 \mathrm{m}/{\mathrm{s}}^2$. Find the time after which the body attains the same speed again.

A body is travelled with an initial speed of $3 \mathrm{m}/\mathrm{s}$. The body is decelerating at a rate of $1.5 \mathrm{m}/{\mathrm{s}}^2$. Find the time after which the body attains the same speed again.