A baseball is hit when it is 3 ft above the ground. It leaves the bat with initi

Question

A baseball is hit when it is 3 ft above the ground. It leaves the bat with initial speed of 156 ft / sec, making an angle of 15 degree with the horizontal. Assume there is linear drag with a drag coefficient k = 0.31. The acceleration due to gravity is g = 32 ft/sec2. Answer the following questions. Find a vector form for the path of the baseball using the equations for linear drag, A vector form for the path of the baseball is r(t) = i+ j. (Simplify your answers. Use integers or decimals for any numbers in the expression. Round to the nearest hundredth.) How high does the baseball go, and when does it reach its maximum height? The baseball reaches its maximum height of feet after seconds. (Round to the nearest hundredth as needed.) Find the range and flight time of the baseball. The range is feet, and the flight time is seconds. (Round to the nearest hundredth as needed.) When is the baseball 10 ft high? How far (ground distance) is the baseball from home plate at tha height? The baseball is 10 ft high after and after seconds. (Round to the nearest hundredth as needed. Use ascending order.) The baseball is or feet from home plate when it is 10 ft high. (Round to the nearest hundredth as needed. Use ascending order.) A 9-ft high outfield fence is 363 ft from home plate in the direction of the flight of the baseball. The outfielder can jump and catch any ball up to 10 ft off the ground to stop it from going over the fence. Has the batter hit a home run?

Explanation / Answer

a>486.0788(1-e^(.31t))i+[3+332.986(1+.31t-e^(.31t))+130.2444(1-e^(.31t))]j

b>1655.6782 feet after 34.3553second.

c>3522.6713 feet after 77.1322 second

d>5.3131second and 617.4664feet

e>Yes

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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