Enhanced EOC: Problem 3.59 According to the Guinness Book of World Records, the

Question

Enhanced EOC: Problem 3.59 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. You may want to review ( page ) For help with math skills, you may want to review: Solving Quadratic Equations Vector Magnitudes Resolving Vector Components For general problem-solving tips and strategies for this topic, you may want to view a Video Tutor Solution of A batted baseball Part E Ho Ex Sub

Explanation / Answer

Given initial data:

R = 220 m
g = 9.8 m/s^2
? = 45°

(A)

Find the initial total velocity:

Vo = SQRT { [R * g] / [sin2?] }
Vo = SQRT { [ (220 m) * (9.8 m/s^2) ] / [sin(2 * 45)] }
Vo = SQRT { [ 2,156 m^2/s^2 ] / [sin90] }
Vo = SQRT { [ 2,156 m^2/s^2 ] / [ 1 ] }
Vo = SQRT { 2,156 m^2/s^2 }
Vo = 46.4 m/s

Find the initial component of horizontal velocity

Vox = Vo * cos?
Vox = (46.4 m/s) * (cos45)
Vox = (46.4 m/s) * (0.707)
Vox = 32.8 m/s

Find the total travel time

Tt = R / Vox
Tt = (220 m) / (32.8 m/s)
Tt = 6.70 s

(B)

We know the value of .......
Vo = 46.4 m/s
Vox = 32.8 m/s
Tt = 6.70 s
Y = 6.0 m

Find how far it takes the apple to drop 6 m

t = SQRT { [2Y] / g }
t = SQRT { [2 * (6.0 m)] / (9.8 m/s^2) }
t = SQRT { [ 12 m ] / (9.8 m/s^2) }
t = SQRT { 1.22 s^2 }
t = 1.12 s

Subtract apple fall time from arrow shot time to get time to drop the apple

Ta = Tt - t
Ta = (6.70 s) - (1.12 s)
Ta = 5.58 s

Related Questions

Navigate

• Browse (All)
• Browse E
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.