  ToughSTEM  ToughSTEM
A question answer community on a mission
to share Solutions for all STEM major Problems.
Cant find a problem on ToughSTEM?
0

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.

1)Assuming the ball's initial velocity was 43 degrees 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.

2)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?  Edit Comment  Solutions
0

Let V be the initial speed of the ball. Because the ball was hit angle an angle, there are two speed components: one is in x-direction, and the other one is in the y-inderect. The ball travels at a constant speed horizonally but accelerates vertically.

Break down the intial speed

Vx = Vcos45

Vy = Vsin45

find the time it takes the ball to hit the ground 188m away horizonally

x = vt

188 = Vcos45 * t

t = 188 / Vcos45

Xf = .5at^2 + Vt + Xi

Xf = final position (0m)

Xi = initial position (.9m)

a = acceleration

t = time

V = speed in y-derection

we just found the time, which is 188 / Vcos45, plug it in

0 = .5(-9.8)(188 / Vcos45)^2 + Vsin45 * (188 / Vcos45) + .9

-.9 = -4.9(188 / Vcos45)^2 + 188

-188.9 = -4.9(188 / Vcos45)^2

38.551 = (188 / Vcos45)^2

6.208 = 188 / Vcos45

6.208 * Vcos45 = 188

V = 188 / (6.208cos45)

V = 42.82 m/s

The ball was hit with the speed of 42.82m/s

Find the it takes the ball to travel 116m

x = vt

116 = 42.82cos45 * t

t = 3.831s

Xf = .5at^2 + Vt + Xi

Xf = .5(-9.8)(3.831)^2 + 42.82sin45 (3.831) + .9

Xf = 45m

the ball was 45 - 3 = 42m above the fence  Edit Comment  Close Choose An Image
or
Get image from URL
GO
Close Back
Close
What URL would you like to link?
GO             α
β
γ
δ
ϵ
ε
η
ϑ
λ
μ
π
ρ
σ
τ
φ
ψ
ω
Γ
Δ
Θ
Λ
Π
Σ
Φ
Ω
Copied to Clipboard

to interact with the community. (That's part of how we ensure only good content gets on ToughSTEM)
OR      OR
ToughSTEM is completely free, and its staying that way. Students pay way too much already.
Almost done! Welcome to the Club!
Choose a new Display Name
Only letters, numbers, spaces, dashes, and underscores, are allowed. Can not be blank.
Great! You're all set, . A question answer community on a mission
to share Solutions for all STEM major Problems.
Why
The Purpose
How
The Community
Give Feedback Tell us suggestions, ideas, and any bugs you find. Help make ToughSTEM even better.