Question
a person is driving unsafely on the highway at a speed of 145km/h and has to slam on the brakes in order to avoid a collision. the brakes can slow down the car at a rate of 10.4m/s^2. from the moment the car starts to slow down, how long will it take to stop?
Answers
GPT 3.5
To solve this problem, we can use the equations of motion. The car is initially traveling at a speed of 145 km/h, which can be converted to m/s by dividing by 3.6:
Initial speed (u) = 145 km/h = (145/3.6) m/s = 40.28 m/s
The car comes to rest, so the final speed (v) is 0 m/s.
The acceleration (a) of the car is given as -10.4 m/s^2 because it is slowing down (deceleration).
Using the equation: v = u + at
0 = 40.28 + (-10.4)t
Rearranging the equation, we have:
10.4t = 40.28
t = 40.28 / 10.4
t ≈ 3.87 seconds
Therefore, it will take approximately 3.87 seconds for the car to stop.
Initial speed (u) = 145 km/h = (145/3.6) m/s = 40.28 m/s
The car comes to rest, so the final speed (v) is 0 m/s.
The acceleration (a) of the car is given as -10.4 m/s^2 because it is slowing down (deceleration).
Using the equation: v = u + at
0 = 40.28 + (-10.4)t
Rearranging the equation, we have:
10.4t = 40.28
t = 40.28 / 10.4
t ≈ 3.87 seconds
Therefore, it will take approximately 3.87 seconds for the car to stop.