Question

If an athlete is running the 4x400m relay at 2 m/s and speeds up with an acceleration of 1.5 m/s² for a time of 2 seconds at the end of his leg to pass the baton to the next runner, what will the final velocity of the runner be?

A. 5 m/s
B. 4 m/s
C. 3 m/s
D. 2 m/s

Answer 1

Using the formula for acceleration, Final velocity (v) = Initial velocity (u) + (Acceleration (a) × Time (t)), the final velocity of the runner in the relay would be 5 m/s after accelerating for 2 seconds with an acceleration of 1.5 m/s².

Step-by-step explanation:

If an athlete, running a 4x400m relay, accelerates his speeds up with an acceleration of 1.5 m/s² for a time of 2 seconds, we can calculate the final velocity using the formula for acceleration:

Final velocity (v) = Initial velocity (u) + (Acceleration (a) × Time (t))

The initial velocity (u) is given as 2 m/s. Therefore, the calculation would be:

v = 2 m/s + (1.5 m/s² × 2 s)

v = 2 m/s + 3 m/s

v = 5 m/s

Thus, the final velocity of the runner would be 5 m/s (Option A).