truck covers 40.0 m in 7.50 s while uniformly slowing down to a final velocity of 2.65 m/s.
(a) Find the truck's original speed.
(b) Find its acceleration.
m/s2
4.5
To find the truck's original speed, we can use the equation:
final velocity = initial velocity + (acceleration × time)
In this case, we know the final velocity is 2.65 m/s, the time is 7.50 s, and we need to find the initial velocity.
(a) Let's rearrange the equation to solve for the initial velocity:
initial velocity = final velocity - (acceleration × time)
Since the truck is uniformly slowing down, its acceleration is negative. So, we have:
initial velocity = 2.65 m/s - (acceleration × 7.50 s)
Now, we need to find the acceleration. To do this, we can use the equation:
acceleration = (final velocity - initial velocity) / time
We know the final velocity is 2.65 m/s, the initial velocity is what we're looking for, and the time is 7.50 s.
(b) Rearranging the equation, we have:
acceleration = (2.65 m/s - initial velocity) / 7.50 s
To find the acceleration, we need to substitute the given values into this equation and solve for the acceleration in m/s².