Equations of Motion by Graphical Method

A car moving with a speed of $12 \mathrm{m}/\mathrm{s}$ is subjected to brakes which produces a deceleration of $6 \mathrm{m}/{\mathrm{s}}^2$. The car takes $2 \mathrm{s}$ to stop after the application of brakes. What is the distance covered by the car after the application of brakes?

A stone is thrown with an initial speed of $4.9 \mathrm{m} {\mathrm{s}}^{-1}$ from a bridge in a vertical upward direction. It falls down in water after $2$ seconds. The height of the bridge is _____.

A force act on mass $1.5 \mathrm{kg}$ at rest for $0.5 \mathrm{s}$ after force stop acting object travel a distance of $5 \mathrm{m}$ in $2 \mathrm{s}$. Hence, magnitude of acceleration of object will be

A particle starts with a velocity of $5 {\mathrm{ms}}^{-1}$ and moves with a uniform acceleration of $2.5 {\mathrm{ms}}^{-2}$ its velocity after $4 \mathrm{s}$ is

 A player throws a ball upward with initial speed of $29.4 \mathrm{m}/\mathrm{s}$. The time taken by ball to return to player's hand is

A packet is dropped from a balloon which is going upwards with the velocity $12 \mathrm{m}/\mathrm{s}$, the velocity of the packet after $2 \mathrm{seconds}$ will be?

A ball is thrown vertically upwards and reaches a maximum height in $3 \mathrm{s}$, find the velocity with which it was thrown upwards, and the maximum height attained by the ball? 
(Take $g=10 \mathrm{m}/{\mathrm{s}}^2$) 

An object is travelling with velocity 'v'. The brakes are applied and the car stops at a distance 's'. If the velocity of car is 2v, then at what distance the car will stop?

A ball is dropped from the top of a tower $40 \mathrm{m}$ high. What is its velocity when it has covered a distance of $20 \mathrm{m}$? What would be its velocity when it hits the ground?

Take, $g=10 \mathrm{m} {\mathrm{s}}^{-2}$.

A shot travelling at the rate of $120 \mathrm{m}/\mathrm{s}$ just able to pierce 8 cm thick. What velocity is required to pierce a plank of $15 \mathrm{cm}$ thick?

What are equations of motion?

A body is thrown vertically upwards with an initial velocity of $9.8 {\mathrm{ms}}^{-1}$. What is its speed and direction after (a) one second  (b) 2 seconds. Find the height to which it will rise ($\mathrm{g}=9.8 {\mathrm{ms}}^{-2}$).

A stone was thrown upwards with a velocity of $56.6 \mathrm{m}/\mathrm{s}$ from a cliff. If the height of the cliff is $243 \mathrm{m}$, what is the velocity of the stone when it hits the ground? Assume that air resistance is negligible. $\left(g=9.81 \mathrm{m}/{\mathrm{s}}^2\right)$

A body covers a distance of $8.4 \mathrm{m}$ with acceleration $5 \mathrm{m} {\mathrm{s}}^{-2}$ and velocity $10 \mathrm{m} {\mathrm{s}}^{-1}$. Calculate the initial velocity of the body.

A motorcycle starts its motion with constant acceleration $10 \mathrm{m} {\mathrm{s}}^{-2}$ from rest and moves for $5$seconds. Now he stops accelerating the motorcycle and continues to move with the constant velocity he achieved at that instant for another $5$ seconds. Now he applies break which generates retardation of $5 \mathrm{m} {\mathrm{s}}^{-2}$ and moves in this state for $2$ seconds. Find the total distance travelled by the motorcycle.

A body is dropped from certain height $\mathrm{H}$. If the ratio of the distances travelled by it in $\left(\mathrm{n}-3\right)$ seconds to ${\left(\mathrm{n}-3\right)}^{\mathrm{th}}$ second is $4:3$, find $\mathrm{H}$. (Take $\mathrm{g}=10 {\mathrm{ms}}^{-2}$)

A car decelerates uniformly from $54 \mathrm{km}/\mathrm{h}$ to rest after travelling a distance of $20 \mathrm{metres}$. Find the acceleration of the car.

A force of $6 \mathrm{N}$ acts on a body at rest and of mass $1 \mathrm{kg}$, During this time, the body attains a velocity of $30 \mathrm{m} {\mathrm{s}}^{-1}$. Calculate the time for which the force acts on the body.
 

A body is dropped from a balloon which is moving upward with a speed of $10 \mathrm{m}/\mathrm{s}$. The body is dropped when the balloon is at a height of $390 \mathrm{m}$ from the surface of the earth. Find the approximate time taken by the body to reach the surface of the earth. Take $g=10 \mathrm{m}/{\mathrm{s}}^2$. 

A body on an inclined plane slide down ${\raisebox{1ex}{$1$}\!\left/ \!\raisebox{-1ex}{$4$}\right.}^{th}$ of the distance in $2$ seconds. It will slide down the complete distance along the plane in (the inclined plane have zero friction)