physics
posted by Anonymous .
A cannon fires a shell at an angle of 20º to the horizontal. The shell reaches a range of 436 meters, landing at the same elevation as the starting point. What was the initial velocity of the shell

Range = (Vo^2/g)sin40 = 436 m
Solve for Vo
Yes, that is sin 40, not sin 20 in the equation. That is because of the trigonometric identity
2 sinx cosx = sin(2x)
Derive the range and you will see why both sinx and cosx appear.
Respond to this Question
Similar Questions

Physics
A cannon fires a shell at an angle of 55.0 above the horizontal. The shell has a mass of 17.5kg, and its initial speed as it leaves the cannon is 289m/s. The cannon is not anchored to the ground. It is mounted on a base a large block … 
physics
A cannon fires a shell at an angle of 55.0° above the horizontal. The shell has a mass of 17.5 kg, and its initial speed as it leaves the cannon is 289 m/s. The cannon is not anchored to the ground. It is mounted on a base—a large … 
physics
A shell fired from the ground with an initial speed of 1.70 x 10^3 m/s at an initial angle of 55 degrees to the horizontal. neglecting air resistance, find a) the shell's horizontal range b)the amount of time the shell is in motion. 
Science
A gun fires a shell at an angle of elevation of 30 degrees with a velocity of 2*10^3m/s. What is the horizontal and vertical component of the velocity? 
calculus
3) A shell is fired from ground level with a muzzle speed of 350 ft / s and elevation and angle of 60 . Find (a) parametric equation for the shell’s trajectory (b) the maximum height reached by the shell (c) the horizontal distance … 
physic
3) A shell is fired from ground level with a muzzle speed of 350 ft / s and elevation and angle of 60 . Find (a) parametric equation for the shell’s trajectory (b) the maximum height reached by the shell (c) the horizontal distance … 
Physics
A cannon ball whose barrel is angled at 40˚ from the horizontal fires a shell with a muzzle velocity of 350 m/s. What is the horizontal and vertical component of the muzzle velocity and what is the range of the shell? 
Physics
A cannon ball whose barrel is angled at 40˚ from the horizontal fires a shell with a muzzle velocity of 350 m/s. What is the resultant velocity of the shell when it lands? 
physics
A cannon fires a 0.598 kg shell with initial velocity 10 m/s in the direction 46◦ above the horizontal. The shell’s trajectory curves downward be cause of gravity, so at the time t = 0.53 s the shell is below the straight … 
PHYSICS
A gun fires a shell at an angle of elevation of 30* with a velocity of 2000ms1.(A)what is the range of the shell.