a.
To find: The position
a.
Answer to Problem 33E
Explanation of Solution
Given information:
A base-ball leaves the bat at an angle
Calculation:
The horizontal position,
The vertical position,
Thus, the position vector at time
b.
To find: The velocity vector of the baseball at time
b.
Answer to Problem 33E
Explanation of Solution
Given information:
A base-ball leaves the bat at an angle
Calculation:
The position vector at time
The velocity vector by derivative of position vector with respect to
Hence, the velocity vector is
c.
To check: The baseball hit the point
c.
Answer to Problem 33E
No
Explanation of Solution
Given information:
A base-ball leaves the bat at an angle
Calculation:
The position vector at time
The position of ball is at
So,
Since the value of time is not same in both case, the baseball does not hit the point.
No, it is not correct.
d.
To check: The baseball hit the point
d.
Answer to Problem 33E
The ball hit the fence at 4.8 second.
The ball clear the home run in 4.1 seconds.
Explanation of Solution
Given information:
A base-ball leaves the bat at an angle
Calculation:
The position vector at time
The position of ball is at
So,
Since the ball hit 20 feet, the time is 4.8 seconds.
Since the ball cross home 230 feet way, the time is 4.1 seconds.
Now draw the graph when baseball will hit the fence.
e.
To check: The baseball hit the point
e.
Answer to Problem 33E
Explanation of Solution
Given information:
A base-ball leaves the bat at an angle
Calculation:
The velocity vector of ball is
Put
The magnitude of the speed is,
Hence, the speed of ball is
Chapter 10 Solutions
CALCULUS:GRAPHICAL,...,AP ED.-W/ACCESS
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