3.2 Calculus Questions

1.

Suppose that the position of a particle is given by s = f(t) = 7+ + 6t + 9. (a) Find the velocity at time t. v(t) = m (b) Find the velocity at time t = 3 seconds. m (c) Find the acceleration at time t. m a(t) 2 (d) Find the acceleration at time t = 3 seconds. $2Let HI} = 3323+5 Use the limit definition of the derivative to calculate the derivative of f: We Use the same formula from above to calculate the derivative of this nev.r function {i.e. the second derivative of f 1: w = The per capita consumption of breakfast cereal in the US has the following model that appears above Cl: t } = l].l}33t3 + ELDER: 0.355t + 12.? pounds, where t is the number of years since 1990-. Decide whether the rate of consumption was changing more rapidlyr in 2001 or EDDY. a un c (m The rate was changing more rapidly" In 0 RING 2130?. Use the limit definition of the derivative to find the instantaneous rate of change of f(x) = 5x' + 5x + 5 atx = 1