A particle moves along xy-plane with a position of a (t) = sin(2t) + 3 cos(4t) y (t) = sin(t) – 6 cos(3t) = a Determine the position vector of the particle b. Determine the velocity vector of the particle c Determine the acceleration vector of the particle d Determine the position vector of the particle when I - 4 e Determine the average acceleration from t -0s to t- 5s f Determine the instantaneous acceleration when - is g Determine the average velocity from t- Is tot 3s

An arrow is launched from ground level, with an initial speed of 27.2 m/s at an angle of 31.4° above the horizontal. Neglect air resistance, and take upward as the positive direction. a) How much time is needed for the arrow to reach its maximum height, b) what is this maximum heightc) how long does it take to land on the ground againd) how far does it travel right before it lands.

The coordinates of a particle moving in a plane are given by r = 4 cos 6t and y = 6 sin 6t find the angle between position vector 7 and velocity vector i at time t: = T/12

A spider moves on a wall along the path shown in the figure. The spider's position and velocity is indicated at t; = 0 and t; = 6.00 seconds. The spider's initial velocity v; = 0.100 m/s is toward the North and final velocity vị = 0.100 m/s is toward the East. Determine the following: a) The x- and y-components of the displacement b) The x- and y-components of the average velocity c) The x- and y-components of the average acceleration. y (m) v = 0.100 m/s 0.350 = 0.100 m/s 0.150- x (m) 0.100 0.400

Lesson: Projectiles When there is air resistance present how to the velocity and acceleration vectors behave? O The acceleration vector is perpendicular to the trajectory and the velocity vector is at a tangent to it. O The acceleration changes throughout the flight with its x-component opposite the direction of motion. The velocity vector is at a tangent to the trajectory O The acceleration vector is constant and points straight down. The velocity vector is at a tangent to the trajectory O The acceleration and velocity vectors are both constant magnitude but continually change direction.

A car is moving with velocity v as shown. The driver notices a deer ahead then he hits the brake to slow down the car. Which arrow best represents the acceleration vector of the car? O (H) (G) O (F) O (E) ○ (D) (B) ○ (C) O (A) ○ (1) V G. H. B. C. La=0 F D. E.

Physics Question #31 is the attached image