Question

I don't want the answer i just need help on figuring out how to solve this!
Jose Altuve hits a fastball with a velocity of 49.1 m/s (109.9 mph) at an angle of 22º. If left field is 96 m (315 ft) away, will this be a home run?

Answer 1

Answer:

Yes, it will be a Home Run

Explanation:

(Note : It is assumed that the collision between bat and ball is perfectly elastic.)

( Also I don't know anything about baseball, so I checked the dimensions online, which are minimum 325 ft (left and right field foul pole) and minimum 400 ft centre field fence)).

STEP 1

Find Horizontal Range of Projectile

$R = \frac{ {u}^{2} \sin(2 \alpha ) }{g} = \frac{(49.1)^{2} \sin(44°) }{g}$

$R = 170.8 \: m \: = 560.3 \: ft$

Therefore, the ball will travel 560.3 ft horizontally well beyond 400 ft (largest dimension of the field), and it'll be a Home Run.