In a recent pretrial run for the world water speed record, the velocity of the Sea Falcon II t seconds after firing the booster rocket was given by ft/sec. Find the distance covered by the boat over the 20-second period after the booster rocket was activated. Hint: The distance is given by .

Question

In a recent pretrial run for the world water speed record, the velocity of the Sea Falcon II t seconds after firing the booster rocket was given by  ft/sec. Find the distance covered by the boat over the 20-second period after the booster rocket was activated. Hint: The distance is given by  .

Quizplus · Accepted Answer

The distance covered by the boat over the 20-second period after the booster rocket was activated is given by the definite integral of the velocity function from 0 to 20:

∫[0,20] 11e^(t/5) dt

Using integration by substitution (u = t/5, du = (1/5) dt), we get:

(55)∫[0,4] e^u du

= (55)(e^u)|[0,4]

= (55)(e^4 - e^0)

= 11eaa8b1_da9a_152c_b1b6_8fbf460044c1_TB6026_11

Therefore, the answer is C.

In a Recent Pretrial Run for the World Water Speed