4. A girl tosses a ball at an initial velocity of A = 8 ft/s at an angle of 0 = 25°. A boy catches the ball at Point B, which is at the same height as Point A. Answer the following questions. a. What is the initial velocity of the ball in A = (v₁) x² + (v₁),j format? Show your work. Velocity in A = (v₁)xi + (v₁)yj format C. b. Where is the ball when it reaches its maximum height? Justify your response by describing where the ball is relative to the position of Points A & B. No math is required. Units What is known about the x- and y-components of velocity and acceleration of the ball at the maximum height? No math is required. TOVE TUDY W d. If we assume that Points A & B are both 3 ft above the ground, what is the maximum total height of the ball? Show your work. Magnitude rounded to 3 sig. fig. Units

The linkage shown consists of 2 sliders, 1 bar, and a plate. The velocities of A and C are given to be VA = 2 m/s Vg = 3 m/s At the instant given. Find the velocity of point B. Use vector notation. 0.1m W1 rad/s 0.26m 12. rad/s VB m/s

For the following mechanism, if the length of rod AB, I = 1.9 m, and its angular velocity w = 7.1 rad/s, determine the magnitude of the linear velocity of point B. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point and proper unit. 0.5 m B 30° A 45° Your Answer:

4. A stunt plane flying at the Reno Air Races is moving through the sky. The rectangular coordinates describing its motion are: x = -0.74t³ + 2.5t² + 10.25t y = -6.23t² + 16.45t + 8.94 where x and y are given in ft and t is given in seconds. a. Calculate the velocity vector, v, and acceleration, a, of the plane after 10 seconds (velocity is in ft/s and acceleration is in ft/s²). You may want to look back at your Topic 2 notes to recall how position, velocity, and acceleration are related. Your final answer should be given in vector form. b. Calculate the magnitude of the velocity (in mph) and the acceleration (in ft/s²) at t = 10 sec. [Ans. to Check: v = 132.46 mph; a = 41.32 ft/s²]