Vector components, standard Cartesian plane: Vx = V cos 0 Vy = V sin 0 Vx2 + Vy2 = V2 tan 0 = Vy/Vx Constant linear acceleration: V = Vo + at d = do + Vot + 1/2 at2 V2 = Vo2 + 2a(d-do) Constant angular acceleration W = wo+ at 0 = 00 + Wot + 1/2 at2 (2 = Wo2 + 2a(0 - 00) Projectile motion: X = Xo + Voxt y = yo + Voyt - 1/2 gt2 Vy = Voy - gt Use g = 10 m/s2 in word problems. Circular motion: 1 rev = 3600 = 2nt radians 0 = s/r W = v/r a = aT/r ac = v2/r = rw2 A go-cart is slowly rolling up a hill to a stop. At one point, the wheel of the go-cart is turning with an angular speed of 5.00 revolutions in 4.12 seconds. Later, after 14.5 seconds have elapsed, it is turning with an angular speed of 21.3 revolutions per minute. Create a drawing illustrating this problem, labelling both the knowns and unknowns given in the description. Starting with the equations given on the equations sheet, determine the average angular acceleration in rad/sec during this time interval. Please express all speeds and accelerations in decimal format. Starting with the equations given on the equations sheet, determine the angle (in radians) the wheel turned during this time interval