If an object is thrown straight up and air resistance is negligible, then its speed when it returns to the starting point is the same as when it was released. If air resistance were not negligible, how would its speed upon return compare with its initial speed? How would the maximum height to which it rises be affected? Explain your answer in terms of forces and kinematics.

You have put a sonar device at the top of a frictionless inclined plane, as shown in the diagram below. That device allows you to measure the distance an object is from the device, as well as the speed and the acceleration of that object. If we decide that the origin (h = 0) is at the sonar device, we want to know what the height change is as we slide down the incline. 0 For an angle below the horizontal of 6.46, we see that our object has slid a distance 1.13 m, as measured along the incline itself. Calculate the height change in meters - and report your answer as a negative number. (This value would be useful for calculating the change in gravitational potential energy, as we will do in the lab.) h=o 10% O i 26 QUATU 99+ hp X 55 83°F 3:11 PM 10/16/2022 Ctrl 0

Determine the relationship which governs the velocities of the three cylinders, and state the number of degrees of freedom. Express all velocities as positive down. If VA = 1.21 m/s and vc = 2.30 m/s, what is the velocity of B? Answers: B Number of degrees of freedom: n = VB = i i m/s

Suppose you throw a baseball straight up into the air at t = 0. The ball reaches a maximum height of 22.5 meters above its starting position. Ignore air resistance for this problem. (a) What was the initial velocity of the ball at the moment it left your hand? Hint: the velocity goes to zero at the highest point of the motion. (b) At what time (in seconds) did the ball reach its maximum height? (c) If you threw the ball up into the air with double the initial velocity that you found in part (a), how high would it go?

You are an engineer in charge of designing a new generation of elevators for a prospective upgrade to the Empire State Building. Before the state legislature votes on funding for the project, they would like you to prepare a report on the benefits of upgrading the elevators. One of the numbers that they have requested is the time it will take the elevator to go from the ground floor to the 102nd floor observatory. They are unlikely to approve the project unless the new elevators make the trip much faster than the old elevators. If state law mandates that elevators cannot accelerate more than 1.80 m/s2 or travel faster than 14.8 m/s, what is the minimum time in which an elevator can travel the 373 m from the ground floor to the observatory floor? minimum travel time: