a.
To find: The velocity of the particle after 3 seconds.
a.
Answer to Problem 11E
The velocity of the particle after 3 seconds is
Explanation of Solution
Given information:
A projectile is fired upward with initial velocity 90 feet per seconds.
Calculation:
The height of the projectile at any time
So, the velocity of the particle at any time
Substitute
Conclusion:
The velocity of the particle after 3 seconds is
b.
To find: The time when the particle hits the ground.
b.
Answer to Problem 11E
The particle hits the ground after
Explanation of Solution
Given information:
A projectile is fired upward with initial velocity 90 feet per seconds.
Calculation:
The height of the projectile at any time
When particle hits the ground, the height will be 0.
So, solve the equation
So, the particle hits the ground after
Conclusion:
The particle hits the ground after
c.
To find: The net distance traveled when the particle hits the ground.
c.
Answer to Problem 11E
The net distance traveled by the particle is 0 feet.
Explanation of Solution
Given information:
A projectile is fired upward with initial velocity 90 feet per seconds.
Calculation:
The particle was initial fired upward from ground level and the particle returns to the round after
Conclusion:
The net distance traveled by the particle is 0 feet.
d.
To find: The total distance traveled when the particle hits the ground.
d.
Answer to Problem 11E
The total distance traveled by the particle is 253.12 feet.
Explanation of Solution
Given information:
A projectile is fired upward with initial velocity 90 feet per seconds.
Calculation:
The height of the projectile at any time
So, the velocity of the particle at any time
The velocity is positive from
So, the total distance traveled by the particle from
Conclusion:
The total distance traveled by the particle is 253.12 feet.
Chapter 7 Solutions
AP CALCULUS TEST PREP-WORKBOOK
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