Each of the images below represents a plot. The horizontal axis on each plot rep

Question

Each of the images below represents a plot. The horizontal axis on each plot represents time. The vertical axis represents whichever quantity (position, velocity, acceleration) is being discussed. The origin of each plot is represented by 0, and the function is represented by the colored line. Cor darthe rock anction of time, case rck frem resit Co reprersentthvcy of u rpek as eased as the ongn the round A car starts from rest at a stoplight and undergoes constant acceleration to the East. Which graph best represents the velocity of the car as a function of time? (Choose East to be the You hold your arm out over a cliff and release a rock from rest. Consider the time from just after the rock leaves your hand to just before it hits the ground, which graph best represents the position of the rock as a function of time? (Choose up to be the positive direction and choose the point the rock is released as the origin.) A squirrel is running East at a constant velocity. Which graph best represents the velocity of the squirrel as a function of time? (Choose East to be the positive direction.) You hold your arm out over a cliff and release a rock from rest. Consider the time from just after the rock leaves your hand to just before it hits the ground. Which graph best represents the acceleration of the rock as a function of time? (Choose up to be the positive direction.) positive direction.) Submit Answer Incorrect. Tries 8/10 Previous Tries

Explanation / Answer

1] The rock is thrown downwards and it thus accelerates due to gravity. The vertical position of this rock will be parabolic in time (h = ut + (1/2)gt2) and since this height is decreasing as the rock travels downwards, the parabola is inverted. This is described by 'H'

2] Taking east as the positive horizontal direction, velocity is positive and constant. It is thus correctly depicted in 'D'.

3] The acceleration here is the acceleration due to gravity which is constant and is directed downwards in the negative y direction. This is represented corrected in 'F'.

4] Here, acceleration is constant and so velocity increases linearly with time and is zero at time t=0. This is shown correctly in 'A'.

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