Question

23 14

2. Calculate: You can use trigonometry to find the initial horizontal and vertical components of the ball's
velocity. Take out your calculator now. Click Reset, and turn off Show velocity vector and Show velocity
components. Set Vinitial to 50.0 m/s and 8 to 60.0 degrees.
A.
To calculate vy, multiply Vinitial by the cosine of the angle: V = Viral · cos(O):
B. To calculate vy, multiply Vmisial by the sine of the angle: v, = Vinitial sin(C):
C. Turn on Show velocity components. Were you correct?

Answer 1

(A). The horizontal initial velocity is 25 m/s.

(B). The vertical initial velocity is 43.3 m/s.

(C). The velocity component is

`u_(x)=u\cos\theta`

`u_(y)=u\sin\theta`

Step-by-step explanation:

Given that,

Initial velocity = 50.0 m/s

Angle = 60°

We need to calculate the component of velocity

Using formula of component

(A). Horizontal initial velocity

`\cos\theta=(u_(x))/(u)`

Put the value in to the formula

`\cos60=(u_(x))/(50)`

`u_(x)=50*\cos60`

`u_(x)=25\ m/s`

(B). Vertical initial velocity

`\sin\theta=(u_(y))/(u)`

Put the value in to the formula

`\sin60=(u_(y))/(50)`

`u_(y)=50*\sin60`

`u_(y)=43.3\ m/s`

The velocity component is

`u_(x)=u\cos\theta`

`u_(y)=u\sin\theta`

Hence, (A). The horizontal initial velocity is 25 m/s.

(B). The vertical initial velocity is 43.3 m/s.

(C). The velocity component is

`u_(x)=u\cos\theta`

`u_(y)=u\sin\theta`