Question

Answer of A truck travels 60km to the north at 20km/hr then 70km to the east at 35km/hr. Find the average speed and velocity of the truck.

Answer 1

Answer:

av speed = 19 kmph

av velocity = 26kmph

Explanation:

av speed = total distance /total time

=60km+70km / 3hr+2hr

=19

av velocity = both the velocities/2

=55/2

=26.5

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Answer 2

▶ Solution :

Given :

A truck travels 60km to the north at 20kmph then 70km to the east at 35kmph.

To Find :

• Average speed of truck
• Average velocity of truck

Concept :

☞ Average speed is defined as ratio of total distance covered to the total time taken.

→ Average speed is a scalar quantity.

☞ Average velocity is defined as ratio of total displacement to the total time taken.

→ Average velocity is a vector quantity.

Calculation :

1) Average speed :

$\implies\sf\:av.speed=\dfrac{d_1+d_2}{t_1+t_2}\\ \\ \implies\sf\:av.speed=\dfrac{60+70}{3+2}\\ \\ \implies\sf\:av.speed=\dfrac{130}{5}\\ \\ \implies\boxed{\bf{\purple{av.speed=26\:kmph}}}$

2)Average velocity :

$\mapsto\sf\:av.velocity=\dfrac{\sqrt{(d_1)^2+(d_2)^2}}{t_1+t_2}\\ \\ \mapsto\sf\:av.velocity=\dfrac{\sqrt{60^2+70^2}}{3+2}\\ \\ \mapsto\sf\:av.velocity=\dfrac{\sqrt{8500}}{5}\\ \\ \mapsto\boxed{\bf{\orange{av.velocity=18.43\:kmph}}}$