A jogger runs down the street at a rate of 1.1 m/s. She sees the finish line, and speeds up to a velocity of 3.6 m/s over 1.1 s. What is the acceleration of the jogger?
acceleration=changevelociy/time=(3.6-1.1)/1.1 m/s^2
To find the acceleration of the jogger, we need to use the formula for acceleration:
Acceleration (a) = Change in velocity (Δv) / Time taken (Δt)
Given:
Initial velocity (u) = 1.1 m/s
Final velocity (v) = 3.6 m/s
Time taken (Δt) = 1.1 s
First, let's calculate the change in velocity:
Δv = v - u
= 3.6 m/s - 1.1 m/s
= 2.5 m/s
Now, we can substitute the values into the formula for acceleration:
a = Δv / Δt
= 2.5 m/s / 1.1 s
≈ 2.27 m/s²
Therefore, the acceleration of the jogger is approximately 2.27 m/s².