Concept explainers
(a)
The acceleration of the sneeze as it moves the first
(a)
Answer to Problem 50P
The acceleration of the sneeze as it moves the first
Explanation of Solution
Write the equation of motion.
Here,
Rewrite the above equation for
Conclusion:
Given that the maximum speed of the sneeze is
Substitute
Therefore, the acceleration of the sneeze as it moves the first
(b)
The time taken by the sneeze to move the
(b)
Answer to Problem 50P
The time taken by the sneeze to move the
Explanation of Solution
Write the equation connecting displacement and time.
Here,
Rewrite the above equation for
Here,
Write the equation of motion.
Use the above equation to find the time taken for the displacement when the sneeze moves with constant velocity. Since the velocity is constant, the acceleration will be zero.
Here,
Rewrite the above equation for
Write the equation for the time taken to cover the total distance.
Conclusion:
Substitute
Substitute
Substitute
Therefore, the time taken by the sneeze to move the
(c)
The graph of
(c)
Answer to Problem 50P
The graph of
Explanation of Solution
Velocity is the rate of change of displacement of the object. In velocity-time graph, the instantaneous value of the velocity of an object is plotted as a function of time. The slope of the velocity-time graph gives the acceleration of the motion while the area under the graph gives the displacement during the motion.
The
The initial velocity of the sneeze is
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