Question

A boat initial velocity is 30m/s after 2.5 seconds its velocity is 5m/s what is the boat rate of acceleration

Answer 1

To find the rate of acceleration, you can use the formula for acceleration:

\[
a = \frac{{v_f - v_i}}{{t}}
\]

Where:
- \( v_f \) is the final velocity
- \( v_i \) is the initial velocity
- \( t \) is the time

In this case:
- \( v_f = 5 \, \text{m/s} \)
- \( v_i = 30 \, \text{m/s} \)
- \( t = 2.5 \, \text{s} \)

Now, substitute the values into the formula:

\[
a = \frac{{5 \, \text{m/s} - 30 \, \text{m/s}}}{{2.5 \, \text{s}}}
\]

\[
a = \frac{{-25 \, \text{m/s}}}{{2.5 \, \text{s}}}
\]

\[
a = -10 \, \text{m/s}^2
\]

The acceleration of the boat is \( -10 \, \text{m/s}^2 \). The negative sign indicates that the boat is decelerating.