Concept explainers
Trajectories Are Parabolas From the graphs in Figure 3 the paths of projectiles appear to be parabolas that open downward. Eliminate the parameter r from the general parametric equations to verify that these are indeed parabolas.
Figure
To verify:
The parametric equations are equation of parabola.
Answer to Problem 1P
Solution:
The given set of parametric equation is equation of parabola.
Explanation of Solution
Approach:
Eliminate the parameter
Calculation:
Consider the following parametric equations for a parabola opening downward.
Rewrite equation
Substitute
Since the above equation is of the form
Conclusion:
Hence, the given set of parametric equation is equation of parabola.
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Chapter 8 Solutions
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