A gun with a muzzle velocity of 1700 feet per second is fired at an angle of 4° above the horizontal.Find the vertical and horizontal components of the velocity.(Round your answer to one decimal place. )
A)Vertical ≈ 118.6 ft/sec,Horisontal ≈ 1,695.9 ft/sec.
B)Vertical ≈ 119.6 ft/sec,Horisontal ≈ 1,696.9 ft/sec.
C)Vertical ≈ 1,695.9 ft/sec,Horisontal ≈ 1,695.9 ft/sec.
D)Vertical ≈ 1,695.9 ft/sec,Horisontal ≈ 118.6 ft/sec.
E)Vertical ≈ 118.6 ft/sec,Horisontal ≈ 118.6 ft/sec.

Question

A gun with a muzzle velocity of 1700 feet per second is fired at an angle of 4° above the horizontal.Find the vertical and horizontal components of the velocity.(Round your answer to one decimal place. ) ​
A)Vertical ≈ 118.6 ft/sec,Horisontal ≈ 1,695.9 ft/sec.
B)​Vertical ≈ 119.6 ft/sec,Horisontal ≈ 1,696.9 ft/sec.
C)​Vertical ≈ 1,695.9 ft/sec,Horisontal ≈ 1,695.9 ft/sec.
D)​Vertical ≈ 1,695.9 ft/sec,Horisontal ≈ 118.6 ft/sec.
E)​Vertical ≈ 118.6 ft/sec,Horisontal ≈ 118.6 ft/sec.

Quizplus · Accepted Answer

The vertical component of velocity can be found using the formula Vv = V0sinθ, where V0 is the initial velocity and θ is the angle above the horizontal. 
Vv = 1700sin(4°) ≈ 118.6 ft/sec

The horizontal component of velocity can be found using the formula Vh = V0cosθ. 
Vh = 1700cos(4°) ≈ 1,695.9 ft/sec

Therefore, the correct choice is A.

A Gun with a Muzzle Velocity of 1700 Feet Per