What Calculus Concepts Can Help Predict a Collision Between Two Moving Cars?

[soundsgood]

Homework Statement

If I pulled out in front of a car tht was going constant velocity of say 10m/s and I accelerated to 10m/s in 5 sec, is there a use for calculus to show the point of a collision if any or time safe distance required to avoid a collision?

Homework Equations

The Attempt at a Solution

 

[SteamKing]

Yes.

 

[soundsgood]

Yes.

Wanna point me in the right direction?

 

[fairy._.queen]

If I understand your problem correctly (I'm not an English native speaker), the simple equations of uniform accelerated motions are sufficient. These equations are easily derived from calculus but can also be figured out intuitively.

The position of a body that undergoes uniform accelerated motion is given by
x=x_0+v_0t+\frac{1}{2}at^2
where x_0 and v_0 are the initial position and velocity.
If two bodies move with constant acceleration (which includes no acceleration), you just have to equate the two positions and carry out the math and you'll find out the point in which they collide.