Concept explainers
The horizontal distance before the driveway at which J should drop the paper.
Answer to Problem 167P
The horizontal distance before the driveway at which J should drop the paper is
Explanation of Solution
Write the equation to find the time taken for the newspaper to hit the ground.
Here,
The initial velocity of the newspaper is zero.
Substitute
Write the equation for the horizontal distance travelled by the newspaper as it travels through the air.
Here,
Write the Newton’s second law.
Here,
Write the equation for the net force in
Here,
Write the equation for force of kinetic friction.
Here,
Put the above equation in equation (IV).
Equate equations (III) and (V).
Write the equation of motion to find the horizontal distance travelled by the newspaper after it hits the ground.
Here,
Put equation (VI) in the above equation.
The final speed of the newspaper is zero.
Substitute
Write the equation for the horizontal distance before the driveway at which J should drop the paper.
Here,
Conclusion:
Given that the speed of the vehicle is
Substitute
Substitute
Substitute
Substitute
Therefore, the horizontal distance before the driveway at which J should drop the paper is
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