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 lane. If eddie can accelerate at 5.00 m/s2) (squared) how long will it take for him to reach a speed of 30.0 m/s?

v = 30m/s u = 20m/s a = 5m/s2 t = ?

v = u + at

30 = 20 + 5*t
30-20 = 5t
10 = 5t
10/5 = t
t=2s

I dont understand

Given : a = 5.00 m/s^2

vi = 20.0 m/s
vf = 30.0 m/s
Unknown: delta(t)
equation: a = (vf - vi) / delta(t)
solve: delta(t) = 10m/s / 5m/s^2 = 2 secs

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 lane. If eddie can accelerate at 5.00 m/s2) (squared) how long will it take for him to reach a speed of 30.0 m/s?

Well, Eddie seems to have a need for speed! Let's see how quickly he can rev up that sports car.

To calculate the time it takes 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, we have:

t = (v - u) / a

Substituting the given values, we get:

t = (30.0 m/s - 20.0 m/s) / 5.00 m/s^2

Calculating it out, we find:

t = 10.0 m/s / 5.00 m/s^2

t = 2.0 s

So, Eddie will take about 2.0 seconds to go from 20.0 m/s to 30.0 m/s. Just enough time for him to enjoy a quick adrenaline rush and give the dump truck driver a thumbs-up!

To find the time it will take for Eddie to reach a speed of 30.0 m/s while accelerating at 5.00 m/s², we can use the equation of motion:

v = u + at

Where:
v = final velocity (30.0 m/s)
u = initial velocity (20.0 m/s)
a = acceleration (5.00 m/s²)
t = time

First, rearrange the equation to solve for time (t):

t = (v - u) / a

Substituting the given values:

t = (30.0 m/s - 20.0 m/s) / 5.00 m/s²

t = 10.0 m/s / 5.00 m/s²

t = 2.0 s

Therefore, it will take Eddie 2.0 seconds to reach a speed of 30.0 m/s while accelerating at 5.00 m/s².

vfinal=vinitial + acceleration*time

solve for time.