A truck moving at 8.3 m/s accelerates at a constant rate of 10.0 m/s^2 for 5 seconds. The truck has a final velocity of
V(final) = V(initial) + a t
t is the length of time it accelerates
a is the acceleration rate
To find the final velocity (vf) of the truck, we can use the formula:
vf = vi + at
Where:
- vf is the final velocity
- vi is the initial velocity
- a is the acceleration
- t is the time
Given:
Initial velocity (vi) = 8.3 m/s
Acceleration (a) = 10.0 m/s^2
Time (t) = 5 seconds
Using the given values, we can substitute them into the formula:
vf = 8.3 m/s + (10.0 m/s^2) * 5 s
Simplifying this equation:
vf = 8.3 m/s + 50 m/s
vf = 58.3 m/s
Therefore, the truck has a final velocity of 58.3 m/s.
To find the final velocity of the truck, we can use the formula for acceleration:
final velocity = initial velocity + (acceleration * time)
Given that the initial velocity is 8.3 m/s, the acceleration is 10.0 m/s^2, and the time is 5 seconds, we can substitute these values into the formula:
final velocity = 8.3 m/s + (10.0 m/s^2 * 5 s)
first, we can find the result of (10.0 m/s^2 * 5 s) which gives:
= 50 m/s
Now we can substitute this result back into the formula:
final velocity = 8.3 m/s + 50 m/s
= 58.3 m/s
Therefore, the final velocity of the truck is 58.3 m/s.