A car moving 50 miles per he speeds up steadily to 70 miles per he over a period of 30 minutes. how far did it travel during the 30 minute period of acceleration?

The acceleration of the car is 70 miles per hour per 30 minutes or equal to 140 miles/h². Given the initial speed (v1), the acceleration (a), and the time (t), the distance traveled is calculated by,

d = (v1) (t) + 0.5 (a) (t²)

Substituting the given values,

d = (50 miles/h) x (0.5 h) + (0.5) (140 miles/h²) (0.5 h) ² = 42.5

Thus, the car traveled about 42.5 miles.