Question

We are racing our friend going 10 meters/sec. We then accelerate at a rate of 2sec/m^2 for 2 seconds to win the race. What was my final velocity at the end of the 2 seconds.

a. 14
b. 06
c. 03
d. 04
e. 05​

Answer 1

The final velocity of the student after accelerating for 2 seconds at a rate of 2 meters per second squared, starting from a velocity of 10 meters per second, is 14 meters per second.

Step-by-step explanation:

The student's question involves calculating the final velocity of an object (themselves in a race) after a period of acceleration. Using the formula for final velocity (v = u + at), where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time, we can determine the answer. The student starts with an initial velocity (u) of 10 meters per second and accelerates at 2 meters per second squared (a) for 2 seconds (t).

To find the final velocity:

1. Substitute the known values into the formula: v = u + at
2. Calculate the final velocity: v = 10 m/s + (2 m/s² * 2 s) = 10 m/s + 4 m/s = 14 m/s.

Therefore, the final velocity at the end of the 2 seconds is 14 meters per second.