The time at which the particle is at the point
Answer to Problem 30E
It has been determined that the particle is at the point
Explanation of Solution
Given:
The parametric equations of motion for a particle are
Concept used:
The time at which the particle is at the given point can be obtained by equating the parametric equations to the respective coordinates of the point and then solving for
Calculation:
Let the particle be at the point
Then,
Using the expressions for the parametric equations, it follows that:
The second equation is an identity and does not give any value of
Solving the first equation,
Simplifying,
Now, the only real root of this equation is
This implies that the particle is at the point
Conclusion:
It has been determined that the particle is at the point
Chapter 2 Solutions
Advanced Placement Calculus Graphical Numerical Algebraic Sixth Edition High School Binding Copyright 2020
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