Final answer:
The acceleration of the runner in the 100m race is calculated using the formula a = Δv / t, which gives us an acceleration of 6.67 m/s².
Step-by-step explanation:
The 100m race where a runner reaches a speed of 10m/s from a stationary position over a time of 1.5 seconds. To calculate the acceleration, we use the formula: acceleration (a) = Δv / t, where Δv is the change in velocity and t is the time taken. Here, the initial velocity (u) is 0m/s, the final velocity (v) is 10m/s, and the time (t) is 1.5 seconds.
Plugging the values into the formula, a = (10m/s - 0m/s) / 1.5s = 6.67 m/s².
Thus, the acceleration of the runner is 6.67 m/s², which corresponds to option b. 6.67 m/s².