Rate of Change of Velocity

A cyclist rolls down a hill. He starts from rest and after $8 \mathrm{s}$ he is travelling at $13.6 \mathrm{m}/\mathrm{s}$. Then his acceleration will be $\mathrm{K} \raisebox{1ex}{$\mathrm{m}$}\!\left/ \!\raisebox{-1ex}{${\mathrm{s}}^2$}\right.$. Find the value of $\mathrm{K}$.

If a ball is thrown up, the motion is in upward direction, whereas the force due to earth's gravity is in downward direction. What happens to the speed of the ball during its downward motion (fall)?

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 $g=10 \mathrm{m} {\mathrm{s}}^{-2}$)

Two bodies of unequal masses are dropped from the top of building. Which of the following is equal for both bodies at any instant?

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?

Newton's First Law of Motion states that if there is no force is acting on a body then its velocity does not change and the body will not accelerate.

Name the quantity which is defined as the rate of change of velocity.

What name is given to the negative acceleration?

(Choose from the following: retardation/ centripetal acceleration)

A ball hits a wall horizontally at $6.0 \mathrm{m} {\mathrm{s}}^{-1}$. It rebounds horizontally at $4.4 \mathrm{m} {\mathrm{s}}^{-1}$. The ball is in contact with the wall for $0.040 \mathrm{s}$. What is the acceleration of the ball?

In daily life, you come across a range of motion in which acceleration is non-uniform. Identify one example.

In daily life, you come across a range of motion in which acceleration is uniform. Identify one example.