Acceleration

A particle covers $10 \mathrm{m}$ in first $5 \mathrm{s}$ and $10 \mathrm{m}$ in next $3 \mathrm{s}$. Assuming constant acceleration. Find initial speed, acceleration and distance covered in next $2 \mathrm{s}$.

Consider a train which can accelerate with an acceleration of $20 \mathrm{cm} {\mathrm{s}}^{-2}$ and slow down with deceleration of $100 \mathrm{cm} {\mathrm{s}}^{-2}$. Find the minimum time for the train to travel between the stations $2.7 \mathrm{km}$ apart.

A point mass starts moving in a straight line with constant acceleration " $a$ ". At a time $t$ after the beginning of motion, the acceleration changes sign, without change in magnitude. Determine the time $t_0$ from the beginning of the motion in which the point mass returns to the initial position.

A body leaving a certain point "O" moves with a constant acceleration. At the end of the $5^{th}$ second its velocity is $1.5 \mathrm{m} {\mathrm{s}}^{-1}$. At the end of the sixth second the body stops and then begins to move backwards. Find the distance traversed by the body before it stops. Determine the velocity with which the body returns to point "O".

Derive the equation for uniform accelerated motion for the displacement covered in its ${\mathrm{n}}^{\mathrm{th}}$ second of its motion.

A Car stopped after travelling distance $8 \mathrm{m}$ due to applying brakes at the speed of $40 \mathrm{m} {\mathrm{s}}^{-1}$. Find acceleration or retardation of car in that period.

An object moving with $6 \mathrm{m}$ per second execute an acceleration $2 \mathrm{m} {\mathrm{s}}^{-2}$ in next $3$ seconds. How much distance it covered.

A Stone dropped from top of a well reaches the surface of water in $2$ seconds, find the velocity of stone while it touches the surface of water and what is the depth of the water surface from top of well. (Take $g=10 \mathrm{m} {\mathrm{s}}^{-2}$)

Can the direction of velocity of an object reverse when it's acceleration is constant? If so give an example, if not, explain why.

What do you mean by constant acceleration?

Correct your friend who says "Acceleration gives an idea of how fast the position changes."

What is the deceleration of a vehicle moving in a straight line that changes its velocity from $100 \mathrm{km} {\mathrm{h}}^{-1}$ to a dead stop in $10 \mathrm{s}$.

Which has the greater acceleration, an airplane, that goes from $1000 \mathrm{km} {\mathrm{h}}^{-1}$ to $1005 \mathrm{km} {\mathrm{h}}^{-1}$ in $10 \mathrm{s}$ or a skateboard that goes from zero to $5 \mathrm{km} {\mathrm{h}}^{-1}$ in $1$ second?

What is the acceleration of a race car that moves at constant velocity of $300 \mathrm{km} {\mathrm{h}}^{-1}$?

What is acceleration? How can we know that a body is accelerating?