A bullet is fired into the air with an initial velocity of 1,400 feet per second at an angle of from the horizontal. Find the horizontal and vertical vector components of the velocity.
A) ft/sec, ft/sec
B) ft/sec, ft/sec
C) ft/sec, ft/sec
D) ft/sec, ft/sec
E) ft/sec, ft/sec

Question

A bullet is fired into the air with an initial velocity of 1,400 feet per second at an angle of   from the horizontal. Find the horizontal and vertical vector components of the velocity. ​
A)​ ft/sec, ft/sec 
B)​ ft/sec, ft/sec 
C) ft/sec, ft/sec 
D)​ ft/sec, ft/sec 
E)​ ft/sec, ft/sec

Quizplus · Accepted Answer

The horizontal and vertical components of the velocity can be found using the following equations:

Vx = Vcosθ
Vy = Vsinθ

where V is the initial velocity, θ is the angle of elevation, Vx is the horizontal component of the velocity, and Vy is the vertical component of the velocity.

Plugging in the given values, we get:

Vx = 1400cos11° ≈ 1371.56 ft/sec
Vy = 1400sin11° ≈ 257.46 ft/sec

Therefore, the correct answer is C.

A Bullet Is Fired into the Air with an Initial