Question

If your car can accelerate at 5 m/s², what would its final velocity be after 5.0 seconds if its initial velocity were 50 m/s?

a) 75 m/s
b) 75 m/s²
c) 50 m/s
d) 25 m/s

Answer 1

To calculate the final velocity of a car with an initial velocity of 50 m/s and an acceleration of 5 m/s² after 5 seconds, you use the formula v = u + at. The final velocity is 75 m/s, and the correct answer is option (a).

Step-by-step explanation:

If a car can accelerate at 5 m/s², to find its final velocity after a certain time period, we can use the formula for acceleration, which is a = (v - u) / t, where a is acceleration, v is final velocity, u is initial velocity, and t is time. When given an initial velocity (u) of 50 m/s, an acceleration (a) of 5 m/s², and a time (t) of 5.0 seconds, the final velocity (v) can be calculated as follows:

v = u + at
v = 50 m/s + (5 m/s² × 5 s)
v = 50 m/s + 25 m/s
v = 75 m/s

The correct answer to the question is 75 m/s, which means option (a) is correct.