A car accelerates uniformly from rest to a
speed of 21.2 km/h in 8.3 s.
Find the distance it travels during this time.
Answer in units of m
To find the distance traveled by the car during this time, we can use the equation:
d = v_avg * t
where:
d is the distance traveled by the car
v_avg is the average velocity of the car
t is the time taken
First, let's convert the speed from km/h to m/s:
21.2 km/h = 21.2 * (1000 m / 1 km) * (1 h / 3600 s) = 5.89 m/s (rounded to two decimal places)
Next, we need to find the average velocity. Since the car starts from rest and accelerates uniformly, the average velocity will be half the final velocity.
v_avg = 0.5 * 5.89 m/s = 2.945 m/s (rounded to three decimal places)
Finally, we can substitute the values into the equation to find the distance:
d = 2.945 m/s * 8.3 s = 24.38735 m (rounded to five decimal places)
Therefore, the car will travel approximately 24.39 m during this time.