A power boat accelerates along a straight path from 0km/h in 10.0s.Find the average acceleration of the boat in meters per second.
To find the average acceleration of the boat, we need to convert the units of speed from km/h to m/s and use the formula for acceleration.
Given:
Initial speed (u) = 0 km/h
Final speed (v) = unknown
Time (t) = 10.0 s
To convert km/h to m/s, we use the conversion factor:
1 km/h = 1000 m/3600 s = 0.2778 m/s
So, the final speed (v) can be calculated by:
v = (0.2778 m/s) × (final speed in km/h)
Now, let's calculate the final speed:
v = (0.2778 m/s) × 0 km/h
v = 0 m/s
The formula for average acceleration (a) is:
a = (v - u) / t
Substituting the known values:
a = (0 m/s - 0 m/s) / 10.0 s
a = 0 m/s / 10.0 s
a = 0 m/s^2
Therefore, the average acceleration of the boat is 0 meters per second squared (m/s^2).
To find the average acceleration of the boat, we need to use the formula:
acceleration = (final velocity - initial velocity) / time
First, let's convert the given initial velocity from km/h to m/s.
Since 1 km = 1000 m and 1 hour = 3600 seconds, we have:
0 km/h = 0 m/s.
Next, we need to find the final velocity. We know that the boat accelerates from 0 km/h, so the final velocity is the velocity after 10.0 seconds.
Now, we can use the formula to find the average acceleration:
acceleration = (final velocity - initial velocity) / time
Since the initial velocity is 0 m/s, the formula simplifies to:
acceleration = final velocity / time
Substituting the values, we have:
acceleration = final velocity / 10.0 s
To find the final velocity, we need to know the distance traveled by the boat during the acceleration period. However, this information is not provided in the question. So unfortunately, without knowing the distance, we cannot calculate the average acceleration.