While trying out for the position of pitcher on your high school baseball team, you throw a fastball at 87.6 mi/h toward home pl
ate, which is 18.4 m away. how far does the ball drop due to effects of gravity by the time it reaches home plate? (ignore any effects due to air resistance and assume you throw the ball horizontally.)?
1 answer:
You might be interested in
Answer:
<em>The horizontal component of the velocity is 49.85 m/s.</em>
Explanation:
<u>Rectangular Components of a Vector</u>
A 2D vector can be expressed in several forms. The rectangular form gives its two components, one for each axis (x,y). The polar form gives the components as the pair (r,θ) being r the magnitude and θ the angle.
When the magnitude and angle of the vector are given, the rectangular components are calculated as follows:
Where v is the magnitude of the vector and θ is the angle with respect to the x positive direction.
The cart is moving at v=55 m/s at θ=25°, thus:
The horizontal component of the velocity is 49.85 m/s.