To find the distance traveled by the car while it is accelerating uniformly, we can use the equation of motion:
s = ut + (1/2)at²
where: s = distance traveled u = initial velocity a = acceleration t = time
Given: u = 20 m/s (initial velocity) a = 3 m/s² (acceleration) t = 5 s (time)
Plugging in the values into the equation:
s = (20 m/s) × (5 s) + (1/2) × (3 m/s²) × (5 s)² s = 100 m + 0.5 × 3 m/s² × 25 s² s = 100 m + 0.5 × 3 m/s² × 625 s² s = 100 m + 0.5 × 3 m/s² × 625 s² s = 100 m + 0.5 × 3 m/s² × 625 s² s = 100 m + 0.5 × 1875 m s = 100 m + 937.5 m s = 1037.5 m
Therefore, the distance the car travels while it is accelerating is 1037.5 meters.