Posted by **George** on Sunday, December 19, 2010 at 9:31am.

Can someone help me get started on this problem?

A launcher fires a projectile with a velocity of 6.31m/s. Determine the horizontal distance of the projectile (in the air) at 5 degrees. Recalculate this distance at 10, 15, 20.... (5 degree increments) up to 90 degrees (at which point the horizontal distance will be zero). Graph this data (Distance vs. Launch Angle). Distance will be on the Y-axis and launch angle will be on the X-axis.

- Physics -
**drwls**, Sunday, December 19, 2010 at 10:50am
The equation for range is

Distance = 2(V^2/g)sinX*cosX

= V^2/g sin(2X)

where X is the launch angle. In your case V^2/g is 4.05 m. The projectile won't go very far. 6.31 m/s is the speed of a slow runner.

You curve will be the half of a "sine wave.", with zeros at X=0 and X = 90 degrees and a maximum at X=45 degrees

- Physics -
**bobpursley**, Sunday, December 19, 2010 at 10:54am
It is the initial vertical velocity that determines how long it is in the air, and that determines how far it will go.

time in air:

initialverticalvelocity viv=6.31*sinTheta

hf=hi+viv*t-4.9t^2. Hf=hi=0, solve for timeinair t.

t=viv/4.9=6.31sinTheta/4.9

horizontal distance:

horizontal velocity vih=6.31cosTheta

distance=6.31cosTheta* t=

= 6.31^2 sinTheta*CosTheta /4.9

check all that.

## Answer this Question

## Related Questions

- Physics - A launcher fires a projectile with a velocity of 6.31m/s. Determine ...
- physics - an astronaut on the moon fires a projectile from a launcher on a level...
- physics - An astronaut on the Moon fires a projectile from a launcher on a ...
- Physics - A projectile is launched with an initial speed of 80.0m/s at an angle ...
- Physics - A paladin howitzer fires a 46.00 kg projectile towards a 1000 kg metal...
- physics - A projectile is fired with an initial speed of 65.2 m/s at an angle of...
- physics HELP - A projectile is fired with an initial speed of 1000 m/s at an ...
- college physics - a toy cannon fires a projectile from ground level with a speed...
- PHYSICS - The launching velocity of a projectile is 20 m/s at 53 degrees above ...
- Physics- i need to know how to do these problems - Two projectiles are launched ...