Question

A car is initially traveling at 19 m/s and accelerates to 26 m/s to pass a truck. If the car travels 205 m while accelerating, how long did it take?

Answer 1

To find the time it took for the car to accelerate, you can use the formula:

t = (v - u) / a

where t is the time, v is the final velocity, u is the initial velocity, and a is the acceleration.

Plugging in the given values, you get:

t = (26 m/s - 19 m/s) / (205 m / t^2)

You can then rearrange the equation to solve for t:

t = sqrt(205 m / (26 m/s - 19 m/s))

Solving for t, you get:

t = sqrt(205 m / 7 m/s) = sqrt(29.3 s^2) = 5.4 s

So it took the car approximately 5.4 seconds to accelerate from 19 m/s to 26 m/s.