Question

Q ) A car travels 22 km south, 12 km west, and 22 km north in two hour.

a) What is the average speed of the car?

b) What is the final displacement of the car?

c) What is the average velocity of the car?​

Answer 1

Answer:

To find:

• The Average Speed of the car.
• Final Displacement of the car.
• Average Velocity of the car.

Solution:

i) Finding the Average Speed-

We know that,

Average Speed=$\frac{Total\:distance}{Time\:Taken}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀=$\frac{22+12+14}{0.5}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀=$\frac{48}{0.5}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀=$96km/hr$

ii) Final Displacement -

$\sqrt{12²+8²}$

$\sqrt{144+64}$

$\sqrt{208}$

$14.4\:km$

iii) Average Velocity-

Formula used to find-

$\frac{Total\: Displacement}{Time\:Taken}$

$\frac{14.4}{0.5}$

$28.8\:km/h$

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