Final answer:
The average rate of acceleration of the truck is 0.33 m/s², calculated using the formula for acceleration a = (v_f - v_i) / t with the given values for initial and final velocities and the time interval.
Step-by-step explanation:
To calculate the average rate of acceleration of the truck, you would use the formula:
a = (v_f - v_i) / t
Where:
a is the acceleration,
v_f is the final velocity,
v_i is the initial velocity,
t is the time over which the acceleration occurs.
In this case:
- v_i = 5.5 m/s (initial velocity)
- v_f = 8.0 m/s (final velocity)
- t = 7.5 s (time)
Plugging these values into the formula:
a = (8.0 m/s - 5.5 m/s) / 7.5 s
We get:
a = 2.5 m/s / 7.5 s
a = 0.33 m/s²
So, the average rate of acceleration of the truck is 0.33 meters per second squared (m/s²).