Question

You run 100 m in 12 s, then turn around and jog 50m back toward the starting point
in 30s. Calculate your average speed and your average velocity for the total trip.

Answer 1

Given data :

You run 100 m in 12 s,

Then you turn around and jog 50m back toward the starting point  in 30s.

To find :

1. Average Speed.

2. Average Velocity

Solution :

As per the data, distance travelled at first, d1 = 100m

Time taken to travel the distance of 100m = 12 s

distance travelled back in linear motion towards start point, d2 = 50m

Time taken to travel the distance of 50m = 30s

Calculating average speed :

Average speed = $\frac{Total.distance.travelled}{Total.time.taken}$

                          = $\frac{d1 + d2}{t1 + t2}$

                         = $\frac{100+50}{12+30}$

                         = $\frac{150}{42}$

                         = 3.57 m/sec

Therefore, Average speed for the total trip is 3.57 m/s

Calculating average velocity :

We all know that velocity deals with displacement.

Displacement is nothing but the shortest path between starting and ending points.

As you head back towards the starting point in same line, here, the displacement will be 100 - 50; As you have covered half back, the shortest path will be the remaining half distance.

Average Velocity = $\frac{Displacement}{Total.time.taken}$

                             = $\frac{d1 - d2}{t1 + t2}$

                             = $\frac{100-50}{12+30}$

                             = $\frac{50}{42}$

                             = 1.19 m/sec

Therefore, Average velocity for the total trip is 1.19 m/s

Learn more :

1. A body moves half of distance with velocity V1 and another half of distance with velocity V2 then Average velocity =?​

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