Question

A car is initially traveling at 23 m/s. When the driver steps down hard on the gas pedal, resulting in an acceleration of 2.0 m/s², how fast will the car be moving 3.0 seconds later?

a) 29 m/s
b) 32 m/s
c) 35 m/s
d) 38 m/s

Answer 1

To find out how fast the car will be moving after 3 seconds of acceleration, the formula v = u + at is used, which results in a final velocity of 29 m/s.

Step-by-step explanation:

To determine how fast the car will be moving after 3.0 seconds of acceleration, we can use the formula for final velocity which is v = u + at, where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time. Given that the initial velocity (u) is 23 m/s, the acceleration (a) is 2.0 m/s², and the time (t) is 3.0 seconds, we can plug these values into the formula:

v = 23 m/s + (2.0 m/s² × 3.0 s) = 23 m/s + 6 m/s = 29 m/s.

Therefore, the car will be moving at 29 m/s after 3.0 seconds of acceleration.