h How can I find the position when the velocity =0 Constant acceleration. Show y
ID: 1655801 • Letter: H
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h
How can I find the position when the velocity =0
Constant acceleration. Show your work and explain your reasoning. Beginning with the definition of acceleration derive the equations for v_z(t) and s(t) for constant acceleration in the z-direction. In your derivation, denote the initial position x(t = 0) as x_0 and (t = 0) as v_0x. (Writing down the equations from memory is not adequate for credit on this problem.) a. Derive the equation for v_x(t), and identify the constant of integration. b. Derive the equation for x(t), and identify the constant of integration. c. Three students are discussing the motion of an object which is described by the following equation: The students make the following contentions about the motion during the first two seconds: Amy: "I don't think we can tell what will happen to the speed from this since it tells us about the position as a function of time, not about speed or velocity. Bruce: "I think this object's instantaneous speed will increase with time since the acceleration is positive." Chris: "No, the object will have a decreasing speed since the acceleration is directed opposite to the initial velocity." Which, if any, of these students do you think is right? Address each student individually. For each student, cross out any words that wrong. Explain your reasoning in the spaceExplanation / Answer
The velocity is the derivative of the position with respect to time, which is f(t). Once you have that function, you set it to 0 and solve for t to find the time at which the velocity is zero, and then you can use that time to find the position of the object at that moment.
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