Question

If I'm on my motorbike and accelerate to 36km/hr (10 m/s) in 4 seconds from rest, what is my acceleration rate in m/s^2 and when I am up to speed and cruise at 36 km/h for the next 5 minutes, what is my acceleration then?

Answer 1

To find the acceleration rate when you accelerate from rest to a speed of 36 km/h (10 m/s) in 4 seconds, we can use the formula for acceleration:

$a=\frac{v_f-v_i}{t}$

Where:

• $a$ is the acceleration (unknown)
• $v_f$ is the final velocity (10 m/s)
• $v_i$ is the initial velocity (0 m/s, as you start from rest)
• $t$ is the time taken (4 seconds)

Substituting the given values:

$a=\frac{10\text{m/s}-0\text{m/s}}{4\text{s}}$

$a=\frac{10\text{m/s}}{4\text{s}}$

$a=2.5\text{m/s}$