Mention some uses of velocity$-$time graphs.

Vedclass pdf generator app on play store
Vedclass iOS app on app store

The velocity-time graphs have the following uses

$(i)$ To determine the total distance travelled by a particle.

$(ii)$ To determine the instantaneous velocity of the particle.

$(iii)$ To determine the acceleration of the object.

Similar Questions

A girl running a race accelerates at $2.5\, m s ^{-2}$ for the first $4\, s$ of the race. How far does she travel in this time ?

A motor bike running at $90 \,km h ^{-1}$, is slowed down to $54 \,km h^{-1}$ by the application of brakes, over a distance of $40\, m$. If the brakes are applied with the same force, calculate $(i)$ total time in which bike comes to rest $(ii)$ total distance travelled by bike.

A car is moving on a straight road with uniform acceleration. The following table gives the speed of the car at various instants of time.

Time $(s)$ $0$ $10$ $20$ $30$ $40$ $50$
Speed $\left(m s^{-1}\right)$ $5$ $10$ $15$ $20$ $25$ $30$

$(i)$ Draw the speed$-$time graph representing the above set of observations.

$(ii)$ Find the acceleration of the car.

What is velocity$-$time graph ? State how it can be used to find

$(i)$ the acceleration of a body,

$(ii)$ the displacement of the body,

$(iii)$ the distance travelled in a given time.

What is the relationship between the distance travelled and the time elapsed for motion with uniform velocity ?