Final answer:
To determine the final velocity of the accelerating car, one must use the equation of motion: final velocity equals initial velocity plus acceleration times time. By plugging in the given values, the final velocity is calculated to be 13.46 m/s.
Step-by-step explanation:
The question is asking to determine the final velocity of a car that is accelerating. The initial velocity (vi) is given as 5.82 m/s, and it accelerates at a rate of 2.35 m/s2 for a time period of 3.25 s.
Calculating Final Velocity
To find the final velocity (vf), we can use the equation of motion:
vf = vi + a × t
Where:
- vi = initial velocity
- a = acceleration
- t = time
Plugging in the values:
vf = 5.82 m/s + (2.35 m/s2 × 3.25 s)
vf =
- Calculate the total acceleration: 2.35 m/s2 × 3.25 s = 7.64 m/s
- Add this to the initial velocity: 5.82 m/s + 7.64 m/s
- The final velocity is therefore 13.46 m/s