[M] In a wind tunnel experiment, the force on a projectile
Chapter 1, Problem 34E(choose chapter or problem)
Problem 34E
[M] In a wind tunnel experiment, the force on a projectile due to air resistance was measured at different velocities:
Velocity (100 ft/sec) |
0 |
2 |
4 |
6 |
8 |
10 |
Force (100 lb) |
0 |
2.90 |
14.8 |
39.6 |
74.3 |
119 |
Find an interpolating polynomial for these data and estimate the force on the projectile when the projectile is traveling at 750 ft/sec. Use p(t) = a0 + a1t + a2t2 + a3t3 + a4t4 + a5t5. What happens if you try to use a polynomial of degree less than 5? (Try a cubic polynomial, for instance.)5
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