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A cyclist is riding along a flat, straight, smooth bike path. The cyclist has a mass of 70.0 kg. Their bike is made of carbon fiber and has a mass of 7.30 kg. They can accelerate from rest to approximately 1.70 m/s in about a minute.

What is the instantaneous acceleration of the cyclist during the first minute?

A. 0.017 m/s²
B. 1.70 m/s²
C. 0.017 m/s
D. 1.70 m/s

Answer :

Final answer:

The instantaneous acceleration of the cyclist during the first minute is 1.70 m/s². Therefore, the correct option is B.

Explanation:

To determine the cyclist's instantaneous acceleration, we can use the formula for acceleration, which is given by the change in velocity divided by the time taken. In this case, the cyclist accelerates from rest (initial velocity, u = 0 m/s) to a final velocity (v = 1.70 m/s) in one minute (time, t = 60 seconds).

Acceleration (a) = (v - u) / t

Acceleration = (1.70 m/s - 0 m/s) / 60 s

Acceleration ≈ 0.0283 m/s²/s

Therefore, the instantaneous acceleration of the cyclist during the first minute is approximately 0.0283 m/s²/s, which can be rounded to 1.70 m/s². This value aligns with option b) 1.70 m/s².

Therefore, the correct option is B.

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