Answer:
213 s
Explanation:
Slope is the ratio of change in vertical distance to change in horizontal distance.
Slope = vertical height / horizontal height
Therefore:
6.4% = vertical height / 12.42
vertical height = 6.4% * 12.42
vertical height = 0.8 miles
The distance travelled by the car (s) is:
sΒ² = 0.8Β² + 12.42Β²
sΒ² = 154.9
s = 12.45 miles
Acceleration (a) = Β 2.93 ft/s^2 = 0.00055 mile/sΒ²
initial velocity (u) = 0, final velocity = 203 mph
Using:
s = ut + 0.5atΒ²
12.45 = 0.5(0.00055)tΒ²
t =213 s
