Problem Set 14s

9 antiderivatives 5 a car braked with a constant

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: ivative of 3. Find the value of f(0) when 2 Hung Nguyen Problem Set 14 Solution GE 207C 4.9 Antiderivatives 5. A car braked with a constant deceleration of 16 7. The linear density of a rod of length 1 m is given 2 ft/s , producing skid marks measuring 200 ft. before 1 by ρ (x ) = grams per centimeter, where x is coming to a stop. How fast was the car traveling x when the brakes were first applied? measured in centimeters from one end of the Solution: dm rod. Find the mass of the rod. (Hint: ρ (x ) = dx where m(x ) represents mass of rod up to length x from o ne end). Solution: 6. A particle is moving as described by the given data. Find the function describing position of the particle, v := velocity a := acceleration 8. Find a function f such that f ' (x ) = x 3 and the line x + y = 0 is tangent to the graph of f . a. v(t ) = sin (t ) − cos(t ), s(0) = 0 Solution: Solution: b. a(t ) = t − 2, s(0) = 1, v(0) = 3 Solution: 3...
View Full Document

This document was uploaded on 02/27/2014 for the course M 408c at University of Texas.

Ask a homework question - tutors are online