Question

A vehicle is moving with the velocity of 20m/s. It stops after 4 seconds. What is its final velocity?

Answer 1

If a vehicle is moving with a velocity of 20 m/s and it comes to a stop after 4 seconds, we can assume that the vehicle undergoes constant deceleration (negative acceleration) until it reaches a velocity of 0 m/s.

To find the final velocity, we can use the formula for uniformly accelerated motion:

$v_f=v_i+at$

where:

• $v_f$ is the final velocity,
• $v_i$ is the initial velocity,
• $a$ is the acceleration, and
• $t$ is the time.

In this case, the initial velocity ($v_i$) is 20 m/s, the final velocity ($v_f$) is 0 m/s, and the time ($t$) is 4 seconds.

Since the vehicle is decelerating, the acceleration ($a$) will be negative. We'll denote it as $-a$.

Plugging the given values into the formula, we have:

$0=20+(-a)\cdot 4$

Simplifying the equation:

$0=20-4a$

N