Final answer:
The car's final velocity after accelerating from rest at 2 m/s² for 3 seconds is 6 m/s, which is option d.
Step-by-step explanation:
Calculating the Final Velocity of a Car After Acceleration:
To find a car's final velocity after accelerating from rest at a constant acceleration, the following kinematic equation is used:
v = u + at
Where:
- v is the final velocity
- u is the initial velocity (which is 0 m/s since the car is starting from rest)
- a is the acceleration
- t is the time
Given that the car accelerates from rest (u = 0 m/s) with an acceleration (a) of 2 m/s² for a time (t) of 3 seconds, we can calculate the final velocity (v) as follows:
v = 0 m/s + (2 m/s² × 3 s) = 0 m/s + 6 m/s = 6 m/s
Therefore, the correct answer is 6 m/s, which corresponds to option d.