# Collision of Two Particles

#### AnnaSuxCalc

1. The problem statement, all variables and given/known data

Particle A moves along the line y = 29 m with a constant velocity of magnitude 2.8 m/s and directed parallel to the x axis. At the instant particle A passes the y axis, particle B leaves the origin with zero initial speed and constant acceleration of magnitude 0.42 m/s2. What angle θ between and the positive direction of the y axis would result in a collision?

2. Relevant equations

x = x0 + v0xt + 1/2 (axt2)

y = y0 + v0yt + 1/2 (ayt2)

Particle A
y = 29
vx = 2.8
y0 = 29
a = 0

Particle B
v0 = 0
a = 0.42
y0 = 0
x0 = 0

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#### AnnaSuxCalc

1. The problem statement, all variables and given/known data

Particle A moves along the line y = 29 m with a constant velocity of magnitude 2.8 m/s and directed parallel to the x axis. At the instant particle A passes the y axis, particle B leaves the origin with zero initial speed and constant acceleration of magnitude 0.42 m/s2. What angle θ between and the positive direction of the y axis would result in a collision?

2. Relevant equations

x = x0 + v0xt + 1/2 (axt2)

y = y0 + v0yt + 1/2 (ayt2)

Particle A
y = 29
vx = 2.8
y0 = 29
a = 0

Particle B
v0 = 0
a = 0.42
y0 = 0
x0 = 0

#### jhae2.718

Gold Member
You need to come up with equations giving the x and y positions of A and B as functions of time.

Use the equations you have to get expressions of xa(t),ya(t),xb(t), and yb(t).

Then, what conditions do you need for the two projectiles to collide? You can use these conditions to eliminate the parameter t and solve for theta.

"Collision of Two Particles"

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