- #1
plaguemelove
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1.Two stunt drivers drive directly toward each other. At time, t=0, the two cars are a distance 85.0 m apart, car 1 is at rest, and car 2 is driving towards car 1 at speed 13.8 m/s. Car 1 begins to move towards car 2 at t=0, speeding-up with constant acceleration 3.52 m/s^2. Car 2 continues to move at constant velocity.
a. At what time do the two cars collide?
b.How far did car 1 move during that time?
c.Find the speed of the car just before the collision.
2. No relevant Equations were given.
3.a. At what time do the two cars collide?
Here is what I did:
x(t)=car 1
y(t)=car two
x(t)=x0+v0*t+0.5*a*t^2
y(t)=x0+v0*t+0.5*a*t^2
x(t)=y(t)
0.5*a*t^2=v0*t
t=2*v0/a
t=2(13.8m/s)/3.52m/s^2
t=7.84 s
b.How far did car 1 move during that time?
Here is what I did:
x(t)-x0=v0*t+0.5*a*t^2
x(t)-x0=0.5*3.52m/s^2 * (7.84s)^2
x=108 m
c.Find the speed of the car just before the collision.
Here is what I did.
v(t)=v0+a*t
v(t)-v0=at
v(t)-v0=(3.52 m/s^2)(7.84s)
v=27.60 m/sI am not sure if I did this problem completely correctly because we do not have these sort of problems in our books or are taught in class, because they want us to learn the application of these equations. Therefore I tried. Please tell me if this is correct and if not, lead me into the direction.
Thank you so much.
a. At what time do the two cars collide?
b.How far did car 1 move during that time?
c.Find the speed of the car just before the collision.
2. No relevant Equations were given.
3.a. At what time do the two cars collide?
Here is what I did:
x(t)=car 1
y(t)=car two
x(t)=x0+v0*t+0.5*a*t^2
y(t)=x0+v0*t+0.5*a*t^2
x(t)=y(t)
0.5*a*t^2=v0*t
t=2*v0/a
t=2(13.8m/s)/3.52m/s^2
t=7.84 s
b.How far did car 1 move during that time?
Here is what I did:
x(t)-x0=v0*t+0.5*a*t^2
x(t)-x0=0.5*3.52m/s^2 * (7.84s)^2
x=108 m
c.Find the speed of the car just before the collision.
Here is what I did.
v(t)=v0+a*t
v(t)-v0=at
v(t)-v0=(3.52 m/s^2)(7.84s)
v=27.60 m/sI am not sure if I did this problem completely correctly because we do not have these sort of problems in our books or are taught in class, because they want us to learn the application of these equations. Therefore I tried. Please tell me if this is correct and if not, lead me into the direction.
Thank you so much.
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