A car is moving northeast at a velocity of 10 meters per second. Four
seconds later it's going 30 meters per second. What was the car's average
acceleration during this time?

A) 5 m/s
B) 5 m/s²
C) 5 m/s² Northeast
D) 20 m/s² Northeast ​

Respuesta :

The average acceleration of car during this time is 5 [tex]m/s^2[/tex] Northeast.

Answer: Option C

Explanation:

The acceleration exerted by an object is the rate of change in velocity the object undergoes with respect to time. Average acceleration is the measure of variation in acceleration in a given interval of time.

[tex]\text {Average acceleration}=\frac{\text {Final velocity - Initial velocity}}{\text {Time Period}}[/tex]

Here, final velocity is 30 m/s and initial velocity is 10 m/s. The final velocity is attained by the car after 4 s. Thus, the average acceleration will be

[tex]\text {Average acceleration}=\frac{30-10}{4}=\frac{20}{4}=5 \frac{\mathrm{m}}{\mathrm{s}^{2}}[/tex]

So, the average acceleration is 5 [tex]m/s^2[/tex] and as the car was moving in the northeast direction, the average acceleration will also be exerting in the northeast direction only.