$A$ girl of mass $50\, kg$ jumps out of a moving boat of mass $300\, kg$ on to the bank with a horizontal velocity of $3\, m s^{-1}$. With what velocity does the boat begin to move backwards (in $, m s^{-1}$)?

State whether the following statement is true or false:
$A$ motion is said to be uniform if a body undergoes equal displacements in equal intervals of time.

$(a)$ Differentiate between speed and velocity.
$(b)$ When is a body said to have uniform velocity?
$(c)$ How can we describe the position of an object? Illustrate with a suitable example.

Can the distance travelled by a particle be zero when displacement is not zero?

The brakes applied to a car produce an acceleration of $6 \, m s^{-2}$ in the opposite direction of motion. If the car takes $2 \, s$ to stop after the application of the brakes,calculate the distance it travels during this time. (in $, m$)

How can you find the following?
$(i)$ Velocity from a displacement-time graph.
$(ii)$ Acceleration from a velocity-time graph.
$(iii)$ Displacement from a velocity-time graph.
$(iv)$ Velocity from an acceleration-time graph.