Posted by **Vinny** on Thursday, November 14, 2013 at 8:45pm.

The launching speed of a certain projectile is 9.8 times the speed it has at its maximum height. Calculate the elevation angle at launching.

- Physics -
**rosa**, Thursday, November 14, 2013 at 9:40pm
In this following example, just keep v_0=9.8v_x and solve in the same way...

The speed of the projectile can be broken into two velocity components. Vy and Vx. At maximum height Vy is equal to 0. The velocity vector V=(Vy^2+Vx^2)^1/2

We also know, that the initial speed of the projectile is 8 times the amount of max height.

The initial velocity of the projectile is Vo, and that can be broken into two components as well. Vox and Voy. From vectors, Vo=(Vox^2+Voy^2)^1/2

Vo=8 Vx.... Substitute we get... Vox^2 + Voy^2 = 64*Vx^2.

Tan(x)=Voy/Vox..... Voy= Tan(x)*Vox.

Substitute again.

Vox^2 + (Tan(x)*Vox)^2 = 64*Vx^2.

Now one final equation. Vx=Vox because gravity does not act in the X direction but only the why.

So we divide by Vox^2 and we get

1+ (Tan(x))^2=64

then solve for Tan (x) and x= arctan(...)

## Answer this Question

## Related Questions

- Physics - The launching speed of a certain projectile is 9.8 times the speed it ...
- Physics - The launching speed of a certain projectile is 9.8 times the speed it ...
- physics - The launching speed of a certain projectile is 3.0 times the speed it ...
- Physics please help!! - The launching speed of a certain projectile is 9.0 times...
- Physics - The launching speed of a certain projectile is 6.4 times the speed it ...
- Physics - If a projectile has a launching angle of 52 degrees about the ...
- Physics - A child's toy consists of a block that attaches to a table with a ...
- Physics - The speed of a projectile when it reaches its maximum height is 0.42 ...
- Physics - The speed of a projectile when it reaches its maximum height is 0.46 ...
- physics help me bob! - A rock is thrown from the roof of a building with a ...

More Related Questions