Find the tangential and normal components of the acceleration vector for the curve r(t) = (-5t, 5t³, 2t4 at the point t = -2 a(-2) = T+ Ñ Give your answers to two decimal places

Before striking a horizontal surface, a particle moves with velocity á as shown in the figure below. It travels at a speed of 20 mph at the angle of a = 51° with the horizontal. After it hits a barrier, it bounces off at an angle of B=73° with speed reduced by 15%. %3D Before impact After impact (a) Resolve into components the velocity vector a of the particle before impact. Report each of the components accurate to 4 decimal places. Number Number %3D -> (b) Resolve into components the velocity vector b of the particle after impact. Report each of the components accurate to 4 decimal places. -> %3D Number Number

How to solve this question

The concentration of salt in a fluid at is given by mg/cm . You are at the point . (a) In which direction should you move if you want the concentration to increase the fastest? Direction: (Give your answer as a vector.) (b) You start to move in the direction you found in part (a) at a speed of cm/sec. How fast is the concentration changing? Rate of change = HINT: The rate of change of the perceived concentration F(x,y,z), by the Chain Rule, equals the dot product of the gradient vector of F and the velocity of the "particle". To find it, we need to know the norms (magnitudes) of both vectors and the angle between them. In this problem the angle is known.