Math Problem Solver

1 The distance x of a runner from a fixed point is measured (in metres) at intervals of half a

second. The data obtained are

t 0.0 0.5 1.0 1.5 2.0

x 0.00 3.65 6.80 9.90 12.15

(a) Use central differences to approximate the runner’s velocity at times t = 0.75 s

and t = 1.5 s.

(b) Use a central difference to approximate the runner’s acceleration at t = 1.0