A car traveling at 14 m/s accelerates at 2.11 m/s2 for 14 seconds. To the nearest meter how far does it travel?
To find the distance traveled by the car, we can use the formula:
distance = (initial velocity * time) + (0.5 * acceleration * time^2)
Let's substitute the given values into the formula:
initial velocity = 14 m/s
acceleration = 2.11 m/s^2
time = 14 seconds
distance = (14 * 14) + (0.5 * 2.11 * 14^2)
distance = 196 + (0.5 * 2.11 * 196)
distance = 196 + (0.5 * 2.11 * 38416)
distance = 196 + (0.5 * 81156.96)
distance = 196 + 40578.48
distance = 40774.48 meters
To the nearest meter, the car will travel approximately 40774 meters.