A boat has a speed of 2 m/s. It accelerates for half a minute to reach a speed of 8 m/s. Work out the acceleration of the boat.
To calculate the acceleration of the boat, we can use the formula:
acceleration = (final velocity - initial velocity) / time
Given that the boat starts with an initial velocity of 2 m/s and reaches a final velocity of 8 m/s, and the time taken is half a minute, or 30 seconds, we can plug these values into the formula:
acceleration = (8 m/s - 2 m/s) / 30 s
Simplifying,
acceleration = 6 m/s / 30 s
acceleration = 0.2 m/s^2
Therefore, the acceleration of the boat is 0.2 m/s^2.
To work out the acceleration of the boat, we can use the equation:
Acceleration = (Final velocity - Initial velocity) / Time taken
Given:
Initial velocity (u) = 2 m/s
Final velocity (v) = 8 m/s
Time (t) = 0.5 minutes = 30 seconds
Acceleration = (8 - 2) / 30
Now we can calculate the acceleration:
Acceleration = 6 / 30
Simplifying:
Acceleration = 0.2 m/s^2
Therefore, the acceleration of the boat is 0.2 m/s^2.
To work out the acceleration of the boat, we can use the formula for acceleration:
Acceleration = (final velocity - initial velocity) / time
In this case, the initial velocity of the boat is 2 m/s, the final velocity is 8 m/s, and the time taken to accelerate is half a minute, or 30 seconds.
Substituting these values into the formula, we get:
Acceleration = (8 m/s - 2 m/s) / 30 s
Simplifying this equation, we get:
Acceleration = 6 m/s / 30 s
Now, we can divide 6 m/s by 30 s:
Acceleration = 0.2 m/s²
So, the acceleration of the boat is 0.2 m/s².