A spider and a fly move so that their position at time t seconds are given by the vector equations: spider: (x,y) = (3,-2) + t(2,1) fly: (x,y) = (-1,6) + t (4,-3) will they meet each other? If so, when and where.

3. Describe the motion of the ball moving across the following ramp configurations. Please note that the ball can only move to the right and the initial launch speed setting is considered to be to the right as shown by the arrows. A Launch Speed Describe Motion: B Launch Speed > 0 Describe Motion: C Launch Speed > 0 Describe Motion:

Q4. The image below shows the motion trajectory of a ball. If the motion takes place in 8 seconds, determine the average velocity of the ball. Please pay attention: the number may change since it is randomized. Your answer must include 2 places after the decimal point, and proper Sl unit. Note, the image shows the positive direction of position, and negative sign must be included if the average velocity is against the positive direction. -5 -4 -3 -2 -1 0 1 2 3 4 Your Answer: Answer units 10 5 s (m)

Consider the motion of a soccer ball that is kicked from the point (Xo-Yo) = (0,0) with an initial velocity of (uovo) = (40,8) m/s. Assume the x-axis is horizontal, the positive y-axis is vertical (opposite g), the ground is horizontal, and only the gravitational force acts on the object. a. Find the velocity and position vectors for t≥ 0. b. Graph the trajectory. c. Determine the time of flight and range of the soccer ball. d. Determine the maximum height of the soccer ball.