Question

A fox is startled and begins running from the rest. He runs 67.6m with an acceleration of 1.25 m/s². What is his final velocity?

Answer 1

Step-by-step explanation:

To find the final velocity of the fox, we can use the formula for velocity with constant acceleration:

v = v0 + at

Where:

v is the final velocity,

v0 is the initial velocity (assumed to be 0),

a is the acceleration (1.25 m/s²), and

t is the time elapsed (we can find it using the distance formula: d = v0t + (1/2)at^2).

So, we have:

d = v0t + (1/2)at^2

67.6 = 0 * t + (1/2) * 1.25 * t^2

Solving for t:

t^2 = 67.6 * 2 / 1.25 = 54.08

t = sqrt(54.08) = 7.3 s

Finally, using this value of t in the velocity formula:

v = v0 + at = 0 + 1.25 * 7.3 = 9 m/s

Therefore, the final velocity of the fox is 9 m/s.