Using calculus methods, solve these problems: (a) The velocity, v, of a vehicle, with uniform acceleration, is given by v = (34 + 2) m/s, where t is the
time in seconds.

(i) Derive an expression for the distance travelled, s, by integration

Calculate the distance that the vehicle had travelled before it started accelerating if the total
distance covered in the first three seconds of acceleration was 19.5m by using the expression
derived in part (i)

Aretha wanted to gather data about the cost of local bowling leagues in her area. she plotted the data and determined that the average bowling league costs consist of a one-time registration fee and a monthly fee modeled by the equation y = 15x + 20. identify and interpret the y-intercept in this model. the y-intercept is 20. this is the cost per month. the y-intercept is 20. this is the cost of registration. the y-intercept is 15. this is the cost of registration. the y-intercept is 15. this is the cost per month.