Find the expression for the acceleration of the motorboat

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Reference no: EM131246436

A motorboat of mass m is acted on by a resisting force R which varies directly with the square of the velocity : R kv^2 . Suppose the pore is cut off when the motorboat has a velocity v.

(a) find the expression for the acceleration of the motorboat, dv/dt , in term of m,k,and v.

(b) Is the acceleration constant ?

(d) find by integration the velocity at any time t.

(e) if the initial velocity v is 30 ft/s, and if the velocity decrease to 20 ft/s , find the resisting force R at a velocity of 30 ft/s. the mass m of the motorboat is 100 slugs.

Reference no: EM131246436

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