how long does a car with and acceleration of 2.0m/s2 take to go 10m/s to 30 m/s.

v=u+ft or 30=10+2t

t=(30-20)/2=10 secs.

To calculate the time it takes for a car to go from 10 m/s to 30 m/s with an acceleration of 2.0 m/s², you can use the following equation:

v = u + at

Where:
v = final velocity (30 m/s)
u = initial velocity (10 m/s)
a = acceleration (2.0 m/s²)
t = time

Rearranging the equation to solve for time:

t = (v - u) / a

Substituting the given values:

t = (30 m/s - 10 m/s) / 2.0 m/s²

t = 20 m/s / 2.0 m/s²

t = 10 s

Therefore, it takes 10 seconds for the car to go from 10 m/s to 30 m/s with an acceleration of 2.0 m/s².

To find the time it takes for a car to accelerate from 10 m/s to 30 m/s with an acceleration of 2.0 m/s², you can use the following steps:

Step 1: Calculate the change in velocity.
The change in velocity (∆v) is the final velocity minus the initial velocity:
∆v = (30 m/s) - (10 m/s) = 20 m/s

Step 2: Use the formula for acceleration.
The formula for acceleration is: acceleration (a) = ∆v / t
We know the acceleration (2.0 m/s²) and the change in velocity (∆v = 20 m/s), so we can rearrange the formula to solve for time (t):
t = ∆v / a
t = 20 m/s / 2.0 m/s² = 10 s

Therefore, it would take 10 seconds for the car to accelerate from 10 m/s to 30 m/s with an acceleration of 2.0 m/s².