Aboy of mass 40kg slides from rest down a straight slide of length 5m. the slide is inclined to the horizontal at an angle of 20°. the coefficient of friction between the boy and the slide is 0.1. by modelling the boy as a particle, find:
a) the acceleration of the boy,
b) the speed of the boy at the bottom of the slide.

Click on the graphic until you find the right quotient. (36xa - 30xb) ÷ (-6x2)

The average number of vehicles waiting in line to enter a parking lot can be modeled by the function f left parenthesis x right x squared over 2 left parenthesis 1 minus x right parenthesis endfraction , where x is a number between 0 and 1 known as the traffic intensity. find the rate of change of the number of vehicles waiting with respect to the traffic intensity for the intensities (a) xequals0.3 and (b) xequals0.6.

Given the points a(-2, 1) and b(8, 6), find the coordinates of the point c on directed line segment ab, that partitions ab in the ration 2: 3.