3. A jogger runs 300 m due west and then turns and runs 500 m due south. a) What is the total distance that she ran? 800 b) What is her total displacement? c) If it takes her 135 s to complete the route, calculate her speed and velocity.

a) The total distance that she ran is 800m.

b) Her total displacement is 583.09 m

c) Her speed= 5.92 m/s and Velocity= 4.31 m/s

Firstly, let's write the given condition:

A jogger runs 300 m due west and then turns and runs 500 m due south

To find: a) Total distance

b) Total displacement

c) Speed and velocity

Let's solve the question:

(a) Total distance = total path covered

Distance = 500 m + 300 m  = 800 m

(b) Total displacement = shortest path covered

For this type of question in which direction is mentioned, so we can use the displacement formula as:

D==

(c) Speed = distance/time

where d= distance and t=time

Velocity = total displacement/total time

where d= displacement and t=time

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Explanation:

It is given that,

A jogger runs 300 m due west and then turns and runs 500 m due south

(a) Total distance = total path covered

Distance = 500 m + 300 m

= 800 m

(b) Total displacement = shortest path covered

(c) Speed = distance/time

Velocity = total displacement/total time

Hence, this is the required solution.

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