Question

What is the final velocity of a rocket that travels for 4 seconds, has an initial velocity of 12 km/s and an acceleration of 2 km/s2?​

Answer 1

20km/s2

Explanation:

a=(final velocity-initial velocity)/time

final velocity=a * time + initial velocity = 2km/s2 * 4s + 12km/s = 20km/s2

Answer 2

The final velocity of the rocket is 20 m/s.

Given data:

The time interval is, t = 4 seconds.

The initial velocity of rocket is, u = 12 km/s.

The acceleration of rocket is, $a =2 \;\rm km/s^{2}$.

The given problem is based on the kinematic equations of motion. As per the first kinematic equation of motion,

v = u +at

here, v is the final velocity of rocket.

Solving as,

$v = 12 + 2(4)\\\\v=20 \;\rm m/s$

Thus, the final velocity of the rocket is 20 m/s.

Learn more about the kinematic equations of motion here:

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