While driving his sports car at 20.0 m/s down a four lane highway, Eddie
comes up behind a slow-moving dump truck and decides to pass it in the left
hand lane. If Eddie can accelerate at 5.00 m/s3, how long will it take for him
to reach a speed of 30.0 m/s?
(30-20)/5 = 2 seconds
To find the time it takes for Eddie to reach a speed of 30.0 m/s, we can use the equation of motion:
vf = vi + at
Where:
vf = final velocity
vi = initial velocity
a = acceleration
t = time
Given:
vi = 20.0 m/s
vf = 30.0 m/s
a = 5.00 m/s^2
Let's substitute these values into the equation and solve for t:
vf = vi + at
30.0 m/s = 20.0 m/s + (5.00 m/s^2) * t
30.0 m/s - 20.0 m/s = (5.00 m/s^2) * t
10.0 m/s = (5.00 m/s^2) * t
Divide both sides of the equation by 5.00 m/s^2:
t = 10.0 m/s / 5.00 m/s^2
t = 2.0 s
Therefore, it will take Eddie 2.0 seconds to reach a speed of 30.0 m/s.
To find the time it will take for Eddie to reach a speed of 30.0 m/s, we can use the equation:
v = u + at
Where:
v = final velocity (30.0 m/s)
u = initial velocity (20.0 m/s)
a = acceleration (5.00 m/s^2)
t = time
Rearranging the equation to solve for t, we have:
t = (v - u) / a
Substituting the given values, we have:
t = (30.0 - 20.0) / 5.00
t = 10.0 / 5.00
t = 2.0 seconds
Therefore, it will take Eddie 2.0 seconds to reach a speed of 30.0 m/s.