The height of a soccer ball that has been kicked can be modeled by the function

Question

The height of a soccer ball that has been kicked can be modeled by the function

The height of a soccer ball that has been kicked can be modeled by the function

h(𝑡) = −5𝑡2 + 20𝑡 + 1 , where h(t) is the height in metres and t is the time in seconds. Estimate the

instantaneous rate of change when t = 1 using the preceding and following method.

Answer 1

velocity = v(t) = the derivative of h(t) = h'(t) = -10t +20

v(1) =-10(1) +20 = 10 meters per second, upward after one second