Section 13.1: Problem 7 Previous Problem Problem List Next Problem (1 point) A particle moves along the top branch of the parabola y = 7a from left to right at a constant speed of 6 units per second. Find the velocity of the particle as it moves through the point (30 , 6) . Velocity isSection 13.1: Problem 3 Previous Problem Problem List Next Problem (1 point) The equation r(t) = (6t) i + (6t - 5t2) j + (5) k gives the position of a particle in space at time t. Find the angle between the particle's velocity and acceleration vectors at time t = 0. Angle isSection 13.1: Problem 4 (1 point) The equation Ht) : 8(1 + 133/2; + 8(1 7 t)3/2 5+ 575 I; gives the position of a particle in space at time t. Find the angle between the palticle's velocity and acceleration vectors at time t : 0. Angle is Section 13.1: Problem 5 (1 point) Find a vector equation for the tangent line to the curve F05) : (5 cos(2t))_z" + (5 sin(2t)) E + (sin(5t)) k at t : 0. F03) : as: with 700