a.
To calculate velocity of the projectile after 3 seconds.
a.
Answer to Problem 11E
Velocity after 3 seconds is
Explanation of Solution
Given information:
The acceleration due to Earth’s gravity is 32
Take velocity and acceleration in the upward direction as positive and in the downward direction as negative.
The time interval is
Therefore,
Velocity after 3 seconds is
b.
To calculate when the projectile hits the ground.
b.
Answer to Problem 11E
The projectile hits the ground after 5.625 seconds
Explanation of Solution
Given information:
The acceleration due to Earth’s gravity is 32
Take velocity and acceleration in the upward direction as positive and in the downward direction as negative.
Velocity of a projectile when it hits the ground is numerically same as velocity with which it is fired but the sign is opposite, therefore velocity of projectile when it hits the ground is
Consider after x seconds the projectile hits the ground.
Therefore,
The projectile hits the ground after 5.625 seconds.
c.
To calculate the net distance travelled when the projectile hits the ground.
c.
Answer to Problem 11E
Net distance travelled is 0 when the projectile hits the ground.
Explanation of Solution
Given information:
The acceleration due to Earth’s gravity is 32
Take velocity and acceleration in the upward direction as positive and in the downward direction as negative.
Time taken in reaching top
Net distance travelled
Therefore,
Net distance travelled is 0.
d.
To calculate total distance travelled by the projectile when it hits the ground.
d.
Answer to Problem 11E
Total distance travelled by the projectile is 253.125 feet when it hits the ground.
Explanation of Solution
Given information:
The acceleration due to Earth’s gravity is 32
Take velocity and acceleration in the upward direction as positive and in the downward direction as negative.
Time taken in reaching top
Total distance travelled
Therefore,
Total distance travelled by the projectile is 253.125 feet.
Chapter 8 Solutions
Calculus: Graphical, Numerical, Algebraic: Solutions Manual
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