17–22. position from velocity consider an object moving along a line with the given velocity v and initial position. a. determine the position function, for t ú 0, using the antiderivative method b. determine the position function, for t ú 0, using the fundamental theorem of calculus (theorem 6.1). check for agreement with the answer to part (a). 17. v1t2 = sin t on 30, 2p4; s102 = 1

Discuss how the hardness or softness of the landing surface is related to the time required to stop the egg

Amass attached to a spring is displaced from its equilibrium position by 5cm and released. the system then oscillates in simple harmonic motion with a period of 1s. if that same mass–spring system is displaced from equilibrium by 10cm instead, what will its period be in this case? a mass attached to a spring is displaced from its equilibrium position by and released. the system then oscillates in simple harmonic motion with a period of . if that same mass–spring system is displaced from equilibrium by instead, what will its period be in this case? a) 0.5sb) 2sc) 1sd) 1.4s

A5 foot by 5 foot box culvert is buried 6 feet beneath the surface of the ground. a crosssection of this very long culvert (into and out of the page) is illustrated below. assume that the soil in which the culvert is buried has the following properties: jt = 120 pcf, w = 12%, ko = 0.50, ka = 0.33, and kp = 3.00. calculate the total horizontal force per unit length of culvert (fh) felt on one of the vertical faces of the culvert.