Physics
posted by George .
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 Yaxis and launch angle will be on the Xaxis.

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 
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*t4.9t^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.
Respond to this Question
Similar Questions

Physics i need to know how to do these problems
Two projectiles are launched from the ground, and both reach the same vertical height. However, projectile B travels twice the horizontal distance as projectile A before hitting the ground. a. How large is the vertical component of … 
physics
an astronaut on the moon fires a projectile from a launcher on a level surface so as to get the maximum range. If the launcher gives the projectile a muzzle velocity of 25 m/s what is the range of the projectile? 
physics
An astronaut on the Moon fires a projectile from a launcher on a level surface so as to get the maximum range. If the launcher gives the projectile a muzzle velocity of 23 m/s, what is the range of the projectile? 
Physics
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 … 
Dynamics
A French artillerist, Captain A. Le Duc, developed an empirical formula for the velocity of a projectile in terms of the distance traveled by the projectile in the bore. For a 155mm gun this equation is v = 3309s /(70 + s) where s … 
Physics
A cannon fires a projectile into the air at an angle of 60degrees above the horizontal. The projectile falls back on the ground at a distance d from the cannon and its maximum height is h. Ratio d/h is equal to: 
physics
A projectile is fired with an initial speed of 65.2 m/s at an angle of 34.5 degree above the horizontal on a long flat firing range. Determine (a) The maximum height reached by the projectile, (b) The total time in the air, (c) The … 
Physics
A projectile is launched with an initial speed of 80.0m/s at an angle of 40 degrees above the horizontal. The projectile lands on a hillside 3.80s later. Neglect air friction. What is the projectile's velocity at the highest point … 
Physics
I'm having trouble where to start with this question.. Any help would be helpful. A projectile is fired with an initial speed of 75.2 m/s at an angle of 34.5° above the horizontal on a long flat firing range. Determine (a) the maximum … 
physics
What is the velocity of a projectile with initial velocity 2m/s at an angle of 30degree to horizontal at the time 0.2s,0.5s,0.8s.Find the maximum height attained by projectile,total horinzontal distance travelled,seconds the projectile …