In a wind tunnel experiment, the force on a projectile due to air resistance was measured at different velocities:

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 C 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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Velocity (100 ft/sec) 0 2 4 610 Force (100 1b) ts) 26 810 0 2.90 14.8 39.6 74.3 119