Question

A treadmill has an average acceleration of 8.2E-3 m/s^2. What is the velocity of the treadmill after 4 minutes, assuming it started from rest?

a) 1.2 m/s
b) 2.4 m/s
c) 3.6 m/s
d) 4.8 m/s

Answer 1

To calculate the velocity of the treadmill after 4 minutes, we apply the acceleration formula and find that it is approximately 2.0 m/s, which is closest to option b) 2.4 m/s.

Step-by-step explanation:

To find the velocity of the treadmill after 4 minutes, assuming it started from rest, we can use the formula for acceleration:

v = u + at

Where:

• v is the final velocity,
• u is the initial velocity (which is 0 m/s since it started from rest),
• a is the acceleration, and
• t is the time.

Now we plug in the values:

Acceleration a = 8.2E-3 m/s2

Time t = 4 minutes = 4 × 60 seconds = 240 seconds

v = 0 + (8.2E-3 m/s2) × (240 s)

Velocity = 1.968 m/s, which we can round to 2.0 m/s based on the given options, matching option b) 2.4 m/s