rectililinear motion: a particle with an initial velocity Vo = 6 m/s  going to the right and initial position So = 0. What will be the position of the particle after t = 12 Seconds if the acceleration is a = 2ft/s^2 to left.

Question 3: Kinematics The position vector of a particle is given as function of time as r = (3t³î - 4t²ĵ+ 5tk) m. If the particle started moving from rest at = (3î+ 4ĵ- 5k) m and that t is in second, determine the: (a) (b) (c) displacement vector and its magnitude after time t = 3 s vecocity vector and its magnitude after time t = 3 s acceleration vector and its magnitude after time t = 3 s Ret

36 Chapter 2 Force Systems 2/23 Determine the resultant R of the two forces shown by (a) applying the parallelogram rule for vector addition and (b) summing scalar components. 60° 400 N Problem 2/23 2/24 It is desired to remove the spike from the timber by horizontal axis. An obstruc-

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]

Look at the question please

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.

Please help me with this dynamics problem. thank you

The position of a particle is given by: x (t) = 16t3.0t³ where x is in meters, and time is in seconds. The particle is momentarily at rest at what time (in seconds)?

Find the position vector for the maximum position of the particle expressed in format R= Xi+ Yj