Question

A polar bear initially at rest sprints to a speed v in time t.

1. Write an equation for the average speed of the polar bear, assuming steady
acceleration
2. Write an equation fo the distance the Polar I ear covers in its sprint
3. Calculate the distance the polar bear covers when sprinting from resto 2.7
m/s in a time of 20 seconds

Answer 1

To find the average speed of the polar bear, we can use the formula average speed = total distance divided by total time. The distance covered by the polar bear in its sprint can be calculated using the formula distance = average speed multiplied by time. In the given scenario, the polar bear covers a distance of 54 meters when sprinting from rest to 2.7 m/s in a time of 20 seconds.

Step-by-step explanation:

To find the average speed of the polar bear, we can use the formula:

Average speed = total distance / total time

Since the polar bear starts from rest, the total distance covered is just the distance it covers when sprinting.

To calculate the distance the polar bear covers in its sprint, we can use the formula for average speed and rearrange it to solve for distance:

Distance = Average speed * time

Using these equations, we can calculate the distance the polar bear covers when sprinting from rest to 2.7 m/s in a time of 20 seconds.

Distance = Average speed * time = 2.7 m/s * 20 s = 54 meters