Module 7 part 4

Mathematics 31 - Module 7 16 Assignment Booklet 3 2. A rock is dropped from a high building. The acceleration due to gravity is -10 m/s'. Find the distance travelled by this rock from : = 2 s tot = 4 s. Mathematics 31 - Module 7 17 Assignment Booklet 4 3. The acceleration a (in cm/s?) at time ? (in seconds) of a vibrating wire is given by a=-0.01(10247) cos 10247/. Determine the velocity v and position s at any time, if s = 0.01 cm and v = 0 cm/s at / = 0 s. Mathematics 31 - Module 7 18 Assignment Booklet 4 4. Find the mean value of the function f (x) = 3x2 -x over the interval x = 1 to x = 2. 10 Final Module Assignment Read all the parts of your assignment carefully and record your answers in the appropriate place. 3 1. Explain why both y = x - 3 and y = x + 2 can both be considered solutions to the differential equation -1=0