acceleration occurs within a time interval of 2 s.

Derive an expression for the position min x of the block when it is closest to the motion sensor. Express your answer in terms of m, D, 0v , q , and physical constants, as appropriate. On the axes provided below, sketch graphs of position x, velocity v, and acceleration a as functions of time t for the motion of the block while it goes up and back down the ramp. Explicitly label any in Suppose the ramp now has friction. The same block is projected up with the same initial speed 0v and comes back down the ramp. On the axes provided below, sketch a graph of the velocity v as a function of time t for the motion of the block while it goes up and back down the ramp, arriving at the bottom of the ramp at time f t . Explicitly label any intercepts, asymptotes, maxima, or minima with numerical values or algebraic expressions, as appropriate.

An object of mass 5kg is given an initial downward velocity of 50 m/sec and then allowed to fall under the influence of gravity. Assume that the force in newtons due to air resistance is -10v, where v is the velocity of the object in m/sec. Determine the equation of motion of the object. If the object is initially 600 m above the ground, determine when the object will strike the ground. Assume that the acceleration due to gravity is 9.81 m divided by sec ^2 and let x(t) represent the distance the object has fallen in t seconds

Equations of Dependent Motion: Rectangular Coordinates Learning Goal: The blocks A and B shown are initially at rest and have masses of mA = 225 kg and mp 117 kg Neglect the mass of the rope and pulley system and assume block B moves only in the vertical direction, parallel to the y-axis. Neglect the effects of friction. (Figure 1) Figure C 99°F Sunny B 1 of 1 ‒‒ Part A - Acceleration of Block B If the blocks are released from rest, determine the magnitude of the acceleration of block B Express your answer to three significant figures and include the appropriate units. ►View Available Hint(s) aB = Submit Value Part B Acceleration of Block A QA 5 a Value If the blocks are released from rest, determine the magnitude of the acceleration of block A. Express your answer to three significant figures and include the appropriate units. View Available Hint(s) i Units Units ? ?