Find the equation of the tangent line to the graph of the function f(x) = 5x/1+3×3 at the point (2, 2/5).
Problem 3. A ball is thrown directly upward from a height 10 meters above the ground at time t = 0 (seconds). The location y(t) (in meters above the ground) of the ball at time t > 0 is given by y(t) = −2t2 + t + 10.
(a) Find the velocity of the object at time t.
(b) Find the acceleration of the object at time t.
(c) Find the velocity of the ball at the time when it hits the ground, i.e. the time t∗ > 0 when y(t∗) = 0. Hint: You could use the quadratic formula to find the value of t∗.