A body thrown in the vertically upward direction rises upto a height $'h^{\prime}$ and comes back to the position of its start.

Calculate :

$(a)$ the total distance travelled by the body and

$(b)$ the displacement of the body. Under what condition will the magnitude of the displacement be equal to the distance travelled by an object ?

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

$(a)$ Since it travels a distance $h$ upwards and $h$ downwards, therefore, total distance travelled is $h+h=2 h$

$(b)$ As the body returns to its point of throw, therefore, displacement is zero.

Magnitude of displacement can be equal to the distance travelled, if the object is moving along a straight line.

Similar Questions

A train is travelling at a speed of $90\, km h ^{-1}$. Breaks are applied so as to produce a uniform acceleration of $0.5\, m s ^{-2}$. Find how far the train will go before it is brought to rest.

Write any two equations of motion for a body having uniform acceleration.

An artificial satellite is moving in a circular orbit of radius nearly $42.250 \,km .$ Calculate its linear velocity, if it takes $24$ hour to revolve round the earth.

There are 5 houses on a street, $A, B, C, D$ and $E$. For all cases, assume that positions to the right are positive.

$(i)$ Draw a frame of reference with house $A$ as the origin and the positions of houses $B, C, D$ and $E$.

$(ii)$ You live in house $C.$ What is your position relative to house $E$ ?

$(iii)$ What are the positions of houses $A$ and $D$, if house $B$ is taken as the reference point ?

The following displacement $-$ time graph shows the positions of a body at different times, Calculate the velocity of the body as it moves from : $(i) A-B \,(i i) B-C$ $(iii)$ $C-D$.