Question

an olympic sprinter can go from a state of rest to 11 meters per second in 10 seconds.
what is the sprinters average acceleration?
0.9 m/s
1.1 m/s²
110 m/s²
110 m/s

Explanation:

Step1: Recall acceleration formula

Acceleration \( a = \frac{\Delta v}{\Delta t} \), where \( \Delta v \) is change in velocity, \( \Delta t \) is time.

Step2: Determine initial and final velocity

Initial velocity \( v_0 = 0 \, \text{m/s} \) (rest), final velocity \( v = 11 \, \text{m/s} \). So \( \Delta v = v - v_0 = 11 - 0 = 11 \, \text{m/s} \).

Step3: Calculate acceleration

Time \( \Delta t = 10 \, \text{s} \). Substitute into formula: \( a = \frac{11}{10} = 1.1 \, \text{m/s}^2 \).

Answer:

B. 1.1 m/s²