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

Yes, it will be a Home Run

Step-by-step 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} = ((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.