Question

The driver of a car going 90km/h suddenly sees the lights of a barrier 40.0m ahead. The driver hits the brakes and begins slowing down with an acceleration of -10m/s^2. Does the car hit the barrier, or does it manage to stop before impact?

Answer 1

The car hits the barrier.

Step-by-step explanation:

To determine whether the car hits the barrier or not, we can use the equations of motion. The initial velocity of the car is 90 km/h, which can be converted to m/s by multiplying by 1000/3600.

Using the equation v² = u² + 2as, where v is the final velocity, u is the initial velocity, a is the acceleration, and s is the distance, we can solve for the unknowns. Plugging in the given values, we have v = 0 m/s (since the car comes to a stop), u = 90 km/h × (1000/3600) m/s, a = -10 m/s², and s = 40 m.

After substituting these values into the equation and solving for v, we find that the final velocity is less than 0, indicating that the car does hit the barrier.

Answer 2

he would manage to stop very close but je would stop and not impact