Answer:
Avg. Velocity = 10 m/s
Acceleration = 2 m/s^2
Distance = 100 m
Step-by-step explanation:
First, we need to convert the velocity of the car from km/h to m/s, since the standard unit of velocity in SI units is meters per second.
72 km/h = 20 m/s (to 2 significant figures)
We can now calculate the average velocity of the car using the formula:
average velocity = total distance ÷ total time
Since the car starts from rest, its initial velocity is 0 m/s. Therefore, the total distance it travels during the 10 seconds is:
distance = (1/2) × acceleration × time²
where acceleration is the constant acceleration of the car during the 10 seconds, which we do not know yet.
To find the acceleration, we can use the formula:
final velocity = initial velocity + acceleration × time
The final velocity of the car is 20 m/s (which we calculated earlier), the initial velocity is 0 m/s, and the time is 10 seconds. Therefore:
20 m/s = 0 m/s + acceleration × 10 s
Solving for acceleration:
acceleration = 2 m/s²
Substituting this value of acceleration into the formula for distance, we get:
distance = (1/2) × 2 m/s² × (10 s)² = 100 meters
Therefore, the average velocity of the car during the 10 seconds is:
average velocity = total distance ÷ total time = 100 meters ÷ 10 seconds = 10 m/s
The acceleration of the car during the 10 seconds is 2 m/s², and the distance travelled by the car during this period is 100 meters.