Question

How long does it take to increase a cars velocity from 10m/s to 25m/s if the car can accelerate at a rate of 2m/s^2?

Answer 1

To find the time it takes for the car to increase its velocity from 10 m/s to 25 m/s, given an acceleration rate of 2 m/s², we can use the following kinematic equation:

$v=u+at$

Where:

• v is the final velocity (25 m/s)
• u is the initial velocity (10 m/s)
• a is the acceleration (2 m/s²)
• t is the time

Plugging in the given values, we can solve for the time taken:

$25=10+2t$

Rearranging the equation:

$2t=25-10$

$2t=15$

$t=\frac{15}{2}$

$t=7.5$

Therefore, it will take 7.5 seconds for the car to increase its velocity from 10 m/s to 25 m/s with an acceleration of 2 m/s².