What is the stopping distance of the car?

In summary, car kinematics is a branch of physics that studies the motion of cars, including their speed, acceleration, and position over time. It differs from car dynamics in that it solely focuses on the motion of a car without considering the forces that cause that motion. The key parameters in a car kinematics problem are the car's initial velocity, acceleration, displacement, and time elapsed during motion. Car kinematics can be applied in real-life situations, such as analyzing a car's motion in a race or predicting its trajectory in a collision. Some common equations used in car kinematics include those for constant acceleration, average velocity, and average acceleration.
  • #1
miamiheat5
14
0
Suppose a car traveling at 12.0m/s sees a traffic light turn red. After 0.510s have elapsed, the driver applies the brakes, and the car decelerates at 6.20m/s^2. What is the stopping distance of the car, as measured from the point where the driver first notices the red light?


Homework Equations



d=vt
vf^2=vi^2+2ad



The Attempt at a Solution



d before breaking
d=vt
=12(0.51)
d=6.12m

d after breaking

vf^2=vi^2+2ad
0^2=12^2+2(-6.20)d
-144=2(-6.20)d
d=11.6m
 
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  • #2
seems like you got it right.
 
  • #3
looks right to me
 

FAQ: What is the stopping distance of the car?

What is car kinematics?

Car kinematics is a branch of physics that studies the motion of cars, including their speed, acceleration, and position over time.

How is car kinematics different from car dynamics?

Car kinematics focuses on the motion of a car without considering the forces that cause that motion, while car dynamics also takes into account the forces and torques acting on a car.

What are the key parameters in a car kinematics problem?

The key parameters in a car kinematics problem are the car's initial velocity, acceleration, and displacement, as well as the time elapsed during the motion.

How can car kinematics be applied in real-life situations?

Car kinematics can be applied in various real-life situations, such as analyzing the motion of a car in a race, calculating the braking distance of a car, or predicting the trajectory of a car in a collision.

What are some common equations used in car kinematics?

Some common equations used in car kinematics include the equations for constant acceleration, such as v = u + at and s = ut + 1/2at^2, as well as the equations for average velocity and acceleration, such as v = (v1 + v2)/2 and a = (v2 - v1)/t.

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