- #1

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- Homework Statement:
- A ball is launched at A with a speed u at an angle ϴ (from the horizontal). Show that if a point P moves so as to keep d/dt(tanα)=constant, then P will "catch" the ball at point B.

- Relevant Equations:
- tanϴ =tanα+tanβ

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- Thread starter johnsmith122
- Start date

- #1

- 2

- 0

- Homework Statement:
- A ball is launched at A with a speed u at an angle ϴ (from the horizontal). Show that if a point P moves so as to keep d/dt(tanα)=constant, then P will "catch" the ball at point B.

- Relevant Equations:
- tanϴ =tanα+tanβ

- #2

- 36,204

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First, find the x and y location of the projectile as a function of time. Don't substitute a value for g, just leave it as g.

Using those equations, find an equation for the position of P as a function of time.

- #3

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- #4

- 36,204

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Just a bit of trig. What is the height of (x,y) above P? So what is the horizontal distance from (x,y) to P?

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