Find the average velocity over the given time intervals. [4, 5]: [4, 4.5]: [4, 4.1]: [4, 4.01]: [4, 4.001]:

Question

For each value, enter the number correct to four decimal places. Suppose an arrow is shot upward on the moon with a velocity of 69 m/s, then its height in meters after t seconds is given by h ( t ) = 69 t − 0.83 t ^2 .

Answer 1

To get this numbers I calculate h(4) = 262.72.

Then I create difference cotient: (h(t) - 4)/(t - 4) and evaluate valuu of this quotient for t = 5, 4.5, 4.1, 4.01, 4.001. We get: 61.53, 61.945, 62.272, 62.3517, 62.35917.

All calculations done by TI-84(2nd, Calculate, 1-Value)