Fast and Furious: The Speedy Stunt Driver
How fast must a car reach to leave the ground after topping a hill?
If a stunt driver drives a car so fast that it leaves the ground as it tops a hill, what speed must the car exceed?
The car must exceed a speed of 392.93 m/s to leave the ground.
When a stunt driver drives a car so fast that it leaves the ground as it tops a hill, the speed needed can be calculated using the given information.
When a stunt driver drives a car so fast that it leaves the ground as it tops a hill, we can calculate the speed needed using the following information:
- Radius of the hill = 125.0 m
- Weight of the car = 1962 kg
- Gravitational acceleration, g = 9.81 m/s²
The speed needed by the car to leave the ground can be calculated by considering the centripetal force provided by the horizontal component of the normal force must be equal to the weight of the car.
By applying the formula, we can determine that the car must exceed a speed of 392.93 m/s to leave the ground after topping the hill.