Question

A car travels from stop A to stop B with a speed of 30 km/hr and then returns back
to A with a speed of 50 km/hr. Find displacement of the car and distance traveled
by the car?

Answer 1

Displacement is 0....... distance between a and b is x so total distance traversed is 2 x

Answer 2

Hi,

Here is your answer

Given:

Initial speed of car=30km/hr

Final speed of car=50km/hr

To Find:

a) Displacement

b) Distance

Solution:

a)

Displacement is defined as the shortest distance between the initial point and final point.

Here the car starts from A and returns back to A. That is, initial point and final point is the same.

Hence, the displacement is zero.

b)

Let us take the distance travelled by car from A to B as x km.

Therefore distance travelled from B to A is also x km.

Therefore total distance travelled=x+x=2x km.

We know that time=distance/speed

Time taken to travel from A to B=x/30 hrs

Time taken to travel from B to A=x/50 hrs

Therefore total time taken=x/30+x/50=4x/75 hours

Average speed=Total distance/total time

Average speed=2x/(4x/75)=37.5km/hr

Therefore distance travelled=2x=2×37.5

                                               =75km

hope this helps you.