A major league baseball pitcher throws a pitch that follows these parametric equations:

x(t) = 147t
y(t) = –16t2 + 4t + 5.
The time units are seconds and the distance units are feet. The distance between the location of the pitcher and homeplate (where the batter stands) is 60.5 feet. Give EXACT answers, unless instructed otherwise.

(d) Recall that the speed of the baseball at time t is

s(t)=√ [x '(t)]2 + [y ' (t)]2ft/sec.

What is the speed of the baseball (in mph) when it passes over homeplate?

_ mph

(e) At what time does the baseball hit the ground, assuming the batter and catcher miss the ball? sec.

(f) What is the magnitude of the angle at which the baseball hits the ground? rad.

(This is the absolute value of the angle between the tangential line to the path of the ball and the ground. Give your answer in radians to three decimal places.)

Physics

Views: 0 Asked: 01-08 06:12:58

On this page you can find the answer to the question of the physics category, and also ask your own question