Newton's laws of motion imply that an object dropped from rest at a height of 100 metres will be at a height s = 100 -1/2gt2 metres t seconds later, where g is a constant called the acceleration due to gravity. The values of s and r given in the table are observed. Write x = t2, find the least squares approximating line s = a + bx for these data, and use b to estimate g.
Then find the least squares approximating quadratic s = a0 + a1t + a2t2 and use the value of a2 to estimate g.

Transcribed Image Text:

3 5 2-0 1.5 9