A car accelerates from rest at a rate of 2.0 m/ s 2 [N] . What is the displacement of the car after 15 seconds have elapsed?
To solve this problem, we need to use the equation of motion:
Displacement (d) = Initial Velocity (u) × Time (t) + 0.5 × Acceleration (a) × Time (t)²
Given that the initial velocity (u) is 0 (as the car starts from rest) and the acceleration (a) is 2.0 m/s², and the time (t) is 15 seconds, we can substitute these values into the equation:
d = 0 × 15 + 0.5 × 2.0 × 15²
d = 0 + 0.5 × 2.0 × 225
d = 0.5 × 2.0 × 225
d = 225 × 1.0
d = 225 meters
Therefore, the displacement of the car after 15 seconds have elapsed is 225 meters.