Question

According to the Guinness Book of World Records, the longest home run ever measured was hit by Roy "Dizzy" Carlyle in a minor league game. The ball traveled 188 m (618 ft) before landing on the ground outside the ballpark.
Part A
Assuming the ball's initial velocity was 44? above the horizontal and ignoring air resistance, what did the initial speed of the ball need to be to produce such a home run if the ball was hit at a point 0.9 m(3.0 ft) above ground level? Assume that the ground was perfectly flat.
Express your answer using two significant figures.
Part B
How far would the ball be above a fence 3.0 m (10 ft) high if the fence was 116 m (380 ft) from home plate?
Express your answer using two significant figures.

Answer 1

Answer:

Part A: 43 m/s

part B: 40 m  i don't know why it is 40 not 42

Explanation:

Part A

you have

range = 188m

since you have an angle which means parabolic graph like this

you will use the range special rule, which is equal to (v₀²sin(2θ))/g

188=v₀²sin(88)/(9.8)

you will find the answer

Part B

You will the formula Δy=v₀t-(1/2)(g)(t²)

such that v₀ is in y direction which means  it will be 43sin(44) in this equation and the time can be got using the special formula  t=v₀ in y direction /g

then you will plug the time in the quadratic equation

Finally after you get the answer you will subtract 3 from it, but you will find it 42 not 40 , which is the right answer