Question

What is the acceleration of a boat if it starts from rest and then reaches a velocity of 24m/s in 6.0seconds

Answer 1

To find the acceleration of the boat, we can use the formula for acceleration:

\[
a = \frac{\Delta v}{\Delta t}
\]

where:
- \( a \) is the acceleration,
- \( \Delta v \) is the change in velocity,
- \( \Delta t \) is the change in time.

In this case:
- The initial velocity \( v_0 = 0 \) m/s (the boat starts from rest),
- The final velocity \( v = 24 \) m/s,
- The time interval \( \Delta t = 6.0 \) seconds.

We can find the change in velocity \( \Delta v \):

\[
\Delta v = v - v_0 = 24 \, \text{m/s} - 0 \, \text{m/s} = 24 \, \text{m/s}
\]

Now, we can substitute these values into the acceleration formula:

\[
a = \frac{24 \, \text{m/s}}{6.0 \, \text{s}} = 4 \, \text{m/s}^2
\]

So the acceleration of the boat is \( 4 \, \text{m/s}^2 \).