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Calculus 1 - Assignment 3

# Calculus 1 - Assignment 3 - Pawel Lorek University of...

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Pawesuppressl Lorek, University of Ottawa, MAT 1330D, Winter 2009 Assignment 3, due April 1, 17:30 in class Student Name Student Number Problem 1: [6 points] Find the integral F ( t ) of the function f ( t ) = 6 t 4 = 3 t - 6 + 1 t 2 . Find the antiderivative of f ( t ) that satisfies F (1) = 26 5 . Problem 2: [7 points] Car starts (at t = 0) at Ottawa, it’s initial velocity is 9 km h (it abruptly starts with this speed). Accelleration of the car is not constant, it is a following function of time: a ( t ) = 2 t - 6 km h 2 . The travel time is 8 hours. a) [2 points] What is the speed after 1 hour? b) [2 points] Does the car stop anywhere during the trip?
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