4.15 A small 7.40-kg rocket burns fuel that exerts a time-varying upward force on the rocket. This force...

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Physics

4.15

A small 7.40-kgrocket burns fuel that exerts a time-varying upward force on therocket. This force obeys the equation F=A+Bt2.Measurements show that at t=0,the force is 104.0N, and at the end of the first 1.50s, it is 193.0N.

Find the constant A

Findthe constants B

Find the net force on this rocket the instant after the fuel ignites.

Find the acceleration of this rocket the instant after the fuelignites.

Find the net force on this rocket 4.90safter fuel ignition.

Find the acceleration of this rocket 4.90safter fuel ignition.

Suppose you were using this rocket in outer space, far from allgravity. What would its acceleration be 4.90safter fuel ignition?

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4.1 Ratings (509 Votes)

F Bt2 A at t0 f104N at t15 f193 N rearrange for A A F Bt2 so at t0 F 104 sub 0 for t and 104 for F to find A therefore A 104 B02 104 now sub 200 for F F Bt2 101 therefore 193 Bt2 104 finally rearrange to solve for B B F 104 See Answer

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