Using Knowledge of Differential Equation. Evaluate the following question an IVP whose solution will give the velocity of the body and his sled t seconds after he starts down the hill described by the following conditions. Remove all the trigonometric and inverse trigonometric expressions from your final differential equation. A boy and his sled weigh W pounds. Starting from rest at t=0, the body and his sled slide down a snow covered hill whose slope is 2/5. As he slides down the hill on his sled, the boy and his sled are acted upon by air resistance in (Ibs) that is numerically equal to three times his velocity in (ft/sec). The coefficient of sliding friction of the runners on the sled agains the snow-covered hill is 1/25.
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