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- Write parametric equations for a cycloid traced by a point P on a circle of radius a as the circle rolls along the x -axis given that P is at a maximum when x=0.Object A is travelling along a circle of radius 2, and Object B is travelling along a circle of radius 5. The object have the same angular speed. Do the objects have the same linear speed? If not, which object has the greater linear speed?find a parametric equation for the line that is perpendicularto the graph of the given equation at the given point. x2 + y2 = 25, (-3, 4)
- Sketch the curve by using the parametric equations to plot points. Indicate with an arrow the direction in which the curve is traced as t increases.Find parametric equations for the line through the point (6,7,5) and parallel to the line: x-3/-2 = y+8/7 = z-4/5Tony hits a baseball at a height of 3 ft from the ground. The ball leaves his bat traveling with an initial speed of 120 ft/sec at an angle of 45° from the horizontal. Choose a coordinate system with the origin at ground level directly under the point where the ball is struck. Write parametric equations that model the path of the ball as a function of time t (in sec). When is the ball at its maximum height? Give the exact value and round to the nearest hundredth of a second. What is the maximum height? If an outfielder catches the ball at a height of 6 ft, for how long was the ball in the air after being struck? Give the exact answer and the answer rounded to the nearest hundredth of a second. How far is the outfielder from home plate when he catches the ball? Round to the nearest foot.