Dynamics Problem

1. Jan 30, 2007

s4orce

1. Car B is travelling a distance d ahead of car A. Both cars are travelling at 60ft/s when the driver of B suddenly applies the brakes, causing his car to decelerate at 12ft/s^2. It takes the driver of car A 0.75 to react. When he applies his brakes he decelerates at 15ft/s^2. Determine the minimum distance d between the cars so as to avoid a collision.

Diagram
2. ______CAR A_(<----d---->_CAR B__________

2. Jan 30, 2007

cristo

Staff Emeritus

3. Jan 30, 2007

s4orce

i dont know how to post it on here

4. Jan 30, 2007

cristo

Staff Emeritus
Well, what equations do you know? Do you have any that will relate to this problem? If so, post them, along with your ideas for attacking the problem.

5. Jan 30, 2007

s4orce

To determine how long it will take you to stop assuming a constant rate of deceleration, you need only divide your starting velocity ft/s by your rate of deceleration.

60/12 = 5 for car B

60/15 = 4 + 0.75 seconds to react = 4.75 seconds to stop

6. Feb 2, 2007

s4orce

Can anyone help me?

7. Feb 2, 2007

Staff: Mentor

Moved to Intro Physics forum.

s4orce, the problem asks you for the minimum starting separation between the two cars to avoid a collision. What is the kinematic equation for distance versus time, in terms of initial distance, initial velocity and acceleration? What is the kinematic equation for the velocity as a function of initial velocity and acceleration. Set up these equations for the two cars assuming some initial separation distance, and then figure out what you need to calculate to answer the initial question.

8. Feb 2, 2007