Math 1151 Written Homework 6 Autumn 2021 1) Suppose that an object moving along a straight line has position function s(t) = =, cos(wt) + - sin(#t) in meters, with r measured in hours. 3) (2 points) Show that the velocity function, v(t), is equal to v(t) = 5t cos(it). b) (4 points) Explain what v(t) d't represents and find its value on the interval [0, 2]. (Don't forget units.) VALUE :c) (2 points) Circle ALL the correct statements about the function s, or write "NONE". A. s ( t ) = 2 + / v(t ) dt C . s( t ) = ( v ( x ) dx E. s(t ) = s(0) + v(x ) dx B. s ( t ) = 2 + / v(x ) dx D. s(t ) - s(0 ) = [ v ( x ) dx F . s( t ) = s( 0 ) + [ "v ( x ) dx Math 1151 Written Homework 6 Autumn 2021 d) (3 points) Write the integral that gives the displacement of the object during the time interval [0, 2], then calculate the displacement. (Hint: You were given a formula for s(t) above.) Integral: Displacement: e) (6 points) Write the integral that gives the distance traveled by the object during the time interval [0, 2], then calculate the distance traveled