A ball fall freely from 10.00 meter above ground to the floor at time zero. The gravity is 9.807 m/s2. Solve the differential equations analytically and find the time the ball hit the ground. Plot the analytical solution of the position vs time and the speed vs time using Excel.
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- Trent is running along a circular track that has a radius of 45 meters. Trent starts at the 3-o'clock position and travels in the CCW direction, stopping after 106 meters. Imagine an angle with a vertex at the center of the circular track that subtends the path Trent has traveled. When Trent stops, what is his vertical distance from the center of the track?A mountain biker encounters a jump on a race course that sends him into the air at 44.8 degrees to horizontal. He lands at a horizontal distances of 26.7 meters and 13.1 meters below his launch point? What was his launch speed in m/s2Needs Complete typed solution with 100 % accuracy.
- An airplane is flying south at a speed Vi= 25m/s. It then accelerates in a direction 10 degrees north of east with magnitude a. After t seconds, the airplane's velocity is now pointing due east. What is the airplane's speed at this point? Please draw a tail to tip diagram of the problem.Trent is running along a circular track that has a radius of 45 meters. Trent starts at the 3-o'clock position and travels in the CCW direction, stopping after 106 meters. Imagine an angle with a vertex at the center of the circular track that subtends the path Trent has traveled. When Trent stops, what is his horizontal distance from the center of the track?An object moves in the x-y plane with a constant acceleration of 2i +3j meters per second squared. The object starts at the origin with some initial velocity. After four seconds (4 seconds) the velocity of the object is 2i + 8j meters per second. Determine the object’s initial velocity. Leave answer in i-j notation. Determine the position of the object at time, t = 4 seconds. Leave answer in i-j notation. Thank you for your help.