### Does the ball clear the fence

Assignment Help Mathematics
##### Reference no: EM131010410

A batter hits a baseball 3 ft above the ground toward the center field fence, which is 10 ft high and 400 ft from home plate. The ball leaves the bat with a speed 115 ft/s at angle 50o above the horizontal.

(a) Denote the ball trajectory, r(t) = hx(t), y(t)i, wth respect to time, t. Assuming that t = 0 corresponds to the instant when the ball leaves the bat, what are x(t) and y(t)?

(b) Is it a home run? (Does the ball clear the fence?)

#### How many cars should you randomly sample

You believe the figure is no higher than 0.40. If you want the error of the confidence interval to be no greater than .03, how many cars should you randomly sample? Use a 90

#### Find the largest torque

an aluminum tube with the hexagonal section is 2.5 ft long and has a constant thickness of 0.080 in. Find the largest torque that the tube can carry if the shear stress limi

#### Compute the riemann sum for the total mass of the rod

A rod has length 3 meters. At a distance x meters from its left end, the density of the rod is given by δ(x) = 1 + 7x g/m. Complete the Riemann sum for the total mass of the r

#### Implications for strategic planning related to project

You have been asked to share information with your supervisor as to the potential ways in which the product can be affected by supply, demand, and market equilibrium and the

#### Equation and find the number

Player Let x represent the number. Use the given conditions to write an equation. Solve the equation and find the number. If 5 times a number is added to -7, the result is

#### Underline importance of such style of decision making

Establish the relevance of data-driven decision making, preferably with examples from your own work experience. However, you may also quote examples from other organisations

#### Unprecedented number of mega-mergers

The last decade has witnessed an unprecedented number of mega-mergers in the banking industry: Bank of America's acquisitions of Fleet Bank, MBNA, and U.S. Trust; Bank of Ne

#### Find the ratio of final blood pressure to initial pressure

Use Poiseuille's Law to find the ratio of final blood pressure to initial pressure in an artery where the radius of the artery has been reduced (by deposits of arterial plaq