Ifa rock is thrown upward on the planet Mars with a velocity of 13 m/s, its height above the ground (in meters) after tseconds is given by H = 13t 1.86t2. (a) Find the velocity (in m/s) of the rock after 2 seconds. m/s (b) Find the velocity (in m/s) of the rock when t = a. m/s (c) When (in seconds) will the rock hit the surface? (Round your answer to one decimal place.) t= S (d) With what velocity (in m/s) will the rock hit the surface? m/s (a) Find the slope, m, of the tangent to the curve y = 2v x at the point where x = a. m = (b) Find equations of the tangent lines at the following points. (4, 4) y : (16, 8) (c) Graph the curve and both tangents on a common screen. The xy-coordinate plane is given. There is a curve and two lines graphed . The curve starts at the origin nearly vertical, goes up and right becoming less steep, passes through the point (1, 2), passes through the point (9, 6), and exits the window in the first 5 10 15 20 25 30 35 quadrant. The first line enters the window in the second quadrant, goes up and right, crosses the y-axis at y = 1, passes through the point (1, 2) touching the curve, and exits the window in the first - 6 quadrant. - 8 The second line enters the window in the second quadrant, goes up and right, crosses the y-axis at y = 3, passes through the -10 point (9, 6) touching the curve, and exits the window in the first -12 quadrant. C 12 10 5 10 15 20 25 30 35 -4 - 6 -8 -10 X 5 15 -12 10 25 30 35