# A stone is tossed into the air from ground level with an initial velocity of 31 m/s. Its height at time t is  h(t) = 31t − 4.9t2  m. Compute the stone's average velocity over the time intervals  [2, 2.01], [2, 2.001], [2, 2.0001],  and  [1.99, 2], [1.999, 2], [1.9999, 2].  (Round your answers to three decimal places.) and Estimate the instantaneous velocity v at  t = 2

Question

A stone is tossed into the air from ground level with an initial velocity of 31 m/s. Its height at time t is

h(t) = 31t − 4.9t2

m. Compute the stone's average velocity over the time intervals

[2, 2.01], [2, 2.001], [2, 2.0001],

and

[1.99, 2], [1.999, 2], [1.9999, 2].

and Estimate the instantaneous velocity v at

t = 2