An object starts from rest and accelerates uniformly down an incline. If the object reaches a speed of 40 meters per second in 5 seconds, its average speed is

The average speed is 20 m/s.

Lets move step by step:

Step 1 : Find the acceleration

We calculate the acceleration of the vehicle travelled by using the given formula.

Acceleration= Speed/Time

Given:

Initial speed = 40 m/s

Time = 5 seconds

Acceleration =

Acceleration = 8 m/s²

Step 2  :Find the distance travelled

Distance= 100 meters

Step 3 :Find the average speed

Average speed = Distance/time

=

Average speed= 20 m/s

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20 m/s

Explanation:

Step 1

Find the acceleration

We calculate the acceleration of the vehicle travelled

= Speed/Time

Initial speed = 40 m/s

Tims = 5 seconds

Acceleration = 40m/s/ 5s

Acceleration = 8 m/s²

Step 2

Find the distance travelled

Distance travelled = 1/2 × a × t²

= 1/2 × 8 m/s² × 5²

= 100 meters

Step 3

Find the average speed

The average speed = Distance/time

= 100 meters/5 seconds

= 20 meters per second (m/s)