If a car with velocity #100 "km"/"hr"# slams on the brakes with constant deceleration of #10 "m"/("s"^2)#, how far does the car travel before coming to a complete stop?
Using integrals as general (and particular) solutions to a first order, linear, differential equation.
Using integrals as general (and particular) solutions to a first order, linear, differential equation.
2 Answers
Explanation:
Using
Explanation:
Deceleration is just negative acceleration.
Acceleration is
Velocity is the antiderivative of acceleration.
Because the initial velocity at
So, at time
We want to know the time when the car stops, which means when the velocity is zero.