[M] In a wind tunnel experiment, die 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 die 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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