Question

A car accelerates at a constant rate from 15m/s to 25 m/s while it travels 125m. How long does it take to achieve this velocity?

Answer 1

To determine the time it takes for the car to achieve the final velocity, you can use the following equation:

$v=u+at$

Where:

• $v$ is the final velocity (25 m/s),
• $u$ is the initial velocity (15 m/s),
• $a$ is the acceleration (assumed constant), and
• $t$ is the time taken.

Since the car accelerates at a constant rate, we can rearrange the equation to solve for $t$:

$t=\frac{v-u}{a}$

Given that the initial velocity ($u$) is 15 m/s, the final velocity ($v$) is 25 m/s, and the acceleration ($a$) is constant, we need to find the acceleration.

To calculate the acceleration, we can use the following equation:

$a=\frac{v-u}{t}$

Since we have two unknowns, $a$ and $t$, we need an additional piece of information to solve for $t$.