(d) Recall that the speed of the baseball at time tis s(t)=√[x'(t)]2+ [y' (t)]2ft/sec. What is the speed of the baseball (in mph) when it passes over homeplate?

(e) At what time does the baseball hit the ground, assuming the batter and catcher miss theball? sec. (f) What is the magnitudeof the angle at which the baseball hits the ground?

Consider an object moving in the plane whose location at time tseconds is given by the parametricequations:x(t)=4cos(πt)y(t)=3sin(πt). Assume the distance units in the plane are meters.(a) The object is moving around an ellipse (as in the previous problem) with equation:10.12/12 points | Previous Answers

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2/21/14, 2:42 PMChapter 10.2 HWPage 8 of 13x2a2+ y2b2=1 where a= and b= .(b) The location of the object at time t=1/3 seconds is ( , ).(c) The horizontal velocity of the object at time t is x ' (t)= m/s.(d) The horizontal velocity of the object at time t=1/3 seconds is m/s.(e) The vertical velocity of the object at time t is y ' (t)= m/s.(f) The vertical velocity of the object at time t=1/3 seconds is m/s.(g) The slope of the tangent line at time t=1/3 seconds is .(h) Recall, the speed of the object at time t is given by the equation:

2/21/14, 2:42 PMChapter 10.2 HWPage 9 of 13s(t)=√[x '(t)]2+ [y ' (t)]2m/s. The speed of the object at time t=1/3 seconds is .(i) The first time when the horizontal and vertical velocities are equal is time t=.(j) Let Q be the position of the object at the time you found in part (i). The slope of the tangentline to the ellipse at Q is .An object moving in the plane has parametric equations:x(t)=22tt2+ 1y(t)=2t2– 1t2+ 1where t is any real number. Assume the distance units in the plane are meters. The location of theobject for a particular t value is P(t)=(x(t),y(t)).11.21/21 points | Previous AnswersViewing Saved Work Revert to Last Response