What does the graph of the parametric equations z (t) = 3 – t and y (t) = (t + 1)², where t is on the interval [-3, 1), look like? Drag and drop the answers to the boxes to correctly complete the statements. The parametric equations graph as a portion of a parabola. The initial point is and the terminal point is The vertex of the parabola is Arrows are drawn along the parabola to indicate motion (4, 0) right to left (4, 4) left to right (0, 4) (2, 4) (6, 4)

11 A ball was thrown uphill from the base of a hill inclined at 30° to the horizontal. The initial velocity was 15 m/s at 60° to the horizontal. a Show that the parabolic path of the ball has parametric equations and y = -5t2 + 15V31. X = part C only b Hence find the Cartesian equation of the path. * ci Find how far up the hill the ball landed (measuring along the slope), ii Find the time of flight.

Find parametric equations for the line segment joining the first point to the second point. (-6, -9,3) and (-9,4, -2) The parametric equations are x = 0, y = Z= for

-5 -5 3. Select the graph of the parametric equations. x=t-5, y =4-t 5 -5 5 0 5 5