To find the distance the man ran, we need to find the total distance traveled during the initial velocity and the distance traveled during the deceleration.
The initial velocity is 4.5 m/s, and the time for which he ran at this velocity is 15 minutes. We need to convert minutes to seconds:
15 minutes * 60 seconds/minute = 900 seconds
The distance traveled during the initial velocity can be calculated using the formula:
distance = velocity * time
distance = 4.5 m/s * 900 seconds = 4050 meters
Now let's find the distance traveled during the deceleration. The deceleration rate is -0.05 m/s², and the time for which he decelerates is 90.0 seconds. We need to calculate the final velocity using the formula:
final velocity = initial velocity + (acceleration * time)
final velocity = 4.5 m/s + (-0.05 m/s² * 90.0 seconds) = 4.5 m/s - 4.5 m/s = 0 m/s
Now we can calculate the distance traveled during deceleration using the formula:
distance = (initial velocity + final velocity) / 2 * time
distance = (4.5 m/s + 0 m/s) / 2 * 90.0 seconds = 2.25 m/s * 90.0 seconds = 202.5 meters
The total distance traveled is the sum of the distance during the initial velocity and the distance during deceleration:
total distance = 4050 meters + 202.5 meters = 4252.5 meters
Therefore, the man ran a total distance of 4252.5 meters.
A man ruins at a velocity of 4.5 m/s for 15 minutes. When
going up an increasingly steep hill, he slows down at a constant rate of 0.05 m/? for 90.0 seconds and comes to a stop. How far did he run?
1 answer