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Example Questions
Example Question #13 : Motion In One Dimension
According to the table above, during which interval does Boomer reach his highest speed?
None: there is a tie
None: there is a tie
Boomer's speed is the ratio of the distance traveled to the time. It is during both the first and and third intervals.
Example Question #11 : Motion In One Dimension
According to the graph above, Boomer has the slowest speed during which interval?
None of these
The smallest speed is zero which occurs during the final intervals, which have a slope of zero.
Example Question #12 : Motion In One Dimension
According to the graph above, when does Boomer have the smallest average speed?
None: there is a tie
The smallest speed is zero, which occurs during the final intervals which shows no change in position.
Example Question #13 : Motion In One Dimension
According to the graph above, Boomer has the largest positive velocity during which interval?
None of these
The largest and only positive velocity occurs during the first interval when the slope is positive.
Example Question #14 : Motion In One Dimension
According to the table above, when does Boomer have the largest positive velocity?
None of these
The largest positive velocity occurs during the period with the maximum positive change in position. This is the first period.
Example Question #18 : Motion In One Dimension
According to the graph above, Boomer has the largest negative velocity during which interval?
None of these
Negative velocities correspond to periods when the position decreases in value. The largest negative velocity occurs during the third period.
Example Question #15 : Motion In One Dimension
According to the table above, when does Boomer have his largest negative velocity?
None of these
The position decline the largest amount per unit time during the third interval.
Example Question #21 : Motion In One Dimension
Using the coordinate system in the graph shown, what is Boomer 's displacement between ?
north
north
north
north
None of these
north
Displacement has magnitude and direction. It is found by subtracting the position at time zero from the position at time ten seconds.
Example Question #21 : Motion In One Dimension
Boomer stands in the center of a long narrow dog run. Boomer walks north in
, turns and walks
south in
, walks another
south in
, stands still for
. What is Boomer's total displacement during these ten seconds?
north
north
north
north
None of these
north
Displacement has direction and magnitude. To determine the displacement, subtract the final position from the initial position, and keep the sign, which shows us direction. Alternatively, we can correctly say that Boomer's displacement is south.
Example Question #258 : Newtonian Mechanics
Suppose that an object is dropped from an initial height of 100m above the ground. Neglecting air resistance, how long will it take for this object to reach the ground?
To solve this problem, we'll need to use a formula that can relate distance to acceleration and time. It's also worth noting that in this case, we are only considering vertical motion along the y-axis. We don't have to worry about horizontal motion along the x-axis.
is the vertical displacement
is the initial velocity in the vertical direction
is time
is the acceleration due to gravity (which is only in the vertical direction)
Since the object is starting from rest, the initial velocity will be equal to zero, which cancels out the term and gives us:
Rearranging to solve for , we obtain:
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