$(a)$ Derive graphically the equation for velocity$-$time relation.
$(b)$ Name the device used to measure distance travelled by a vehicle.
$(c)$ Can displacement of a moving object be zero ? Give reason.
What do uou understand by the term acceleration ? When is it positive and when is it negative ?
An object is moving along a straight line with uniform acceleration. The following table gives the velocity of the object at various instants of time
Time $(s)$ | $0$ | $1$ | $2$ | $3$ | $4$ | $5$ | $6$ |
Velocity $\left( m s ^{-1}\right)$ | $2$ | $4$ | $6$ | $8$ | $10$ | $12$ | $14$ |
Plot the graph.
From the graph.
$(i)$ Find the velocity of the object at the end of $2.5 sec$
$(ii)$ Calculate the acceleration.
$(iii)$ Calculate' the distance covered in the last $4$ sec.
A cyclist driving at $5\, m s ^{-1}$ picks a velocity of $10\, m s ^{-1}$ over a distance of $50\, m$. Calculate $(i)$ acceleration $(ii)$ time in which the cyclist picks up the above velocity.
Obtain a relation for the distance travelled by an object moving with a uniform acceleration in the interval between $4^{th}$ and $5^{th}$ seconds.