Question

How do you find the time taken to accelerate from rest to a certain velocity?

Answer 1

To find the time taken to accelerate from rest to a certain velocity, you need to know the acceleration of the object. The equation that relates acceleration, time, and final velocity can be derived from the kinematic equations of motion. Assuming constant acceleration, the equation is as follows:

$v=u+at$

Where:

• $v$ is the final velocity
• $u$ is the initial velocity (in this case, 0 because the object is starting from rest)
• $a$ is the acceleration
• $t$ is the time taken

To solve for time ($t$), you can rearrange the equation:

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

Since the initial velocity ($u$) is 0, the equation simplifies to:

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

By plugging in the values of the final velocity ($v$) and acceleration ($a$), you can calculate the time taken to accelerate from rest to the desired velocity.