How can you tell from an acceleration graph when the velocity is constant or not changing?
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How can you tell from an acceleration graph when the velocity is constant or not changing?
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- If we apply the above equations to the case of an object that does not change its direction of travel as it moves with constant acceleration, we find that the object: Undergoes a displacement Ax = x- x, . Note that displacement is a positive quantity if x > x, and a negative quantity if x < x,. Has average velocity v = (x - x )/t = (v + vo)/2. Note that velocity has the same sign as displacement. Travels distance d = |Ax| = |x – x,| . Note that distance is always a positive quantity. Has average speed d/t . Note that speed is always a positive quantity. Has constant acceleration a = (v – vo)/t . Acceleration may be positive or negative, depending on how velocity changes. - Xo For the case of an object that does change its direction of travel as it moves with constant acceleration, which of the quantities listed above are different? QuestionIf a particle increases in speed at a constant rate as it moves in the positive direction along an x axis, which of the following describes a plot of its velocity versus time? O plot has constant positive slope plot has constant negative slope O plot has zero slopeUse the given acceleration function and initial conditions to find the position function, r(t). a(t) = 4i + 12tj + 36t²k, v(0) = 0, a(0) = 7i - 8k
- solve the following exerciseGiven the position function x(t), calculate the velocity function v(t) and the acceleration function a(t). *(1)-( m 3. t + 2 12 +7m а. *(1)=(2m)e/ôs"yYou get in your car and drive north, accelerating up to 60mph. Draw your velocity vector and acceleration vector some time during your acceleration. How would these change if you encountered traffic and started to brake?