The velocity distance graph for the car moving on a linear path is shown in Figure 3. Determine the rate of change of velocity of car at distance (P)=100 m and distance (P)=200 m. Also draw the acceleration distance diagram.

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:

A locomotive, starting from rest, is uniformly accelerated up to a maximum speed, taking 1 min and travelling a distance of 0.5km. It then runs at maximum speed for 2 min and finally is uniformly retarded for 30 s to bring it to rest. Find the maximum speed. And sketch a velocity-time graph and find the total distance travelled.

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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]

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.

Matlab code please