A speedboat starts from rest at 2.01m/s 2 for 7.00s. At the end of this time, th

Question

A speedboat starts from rest at 2.01m/s2 for 7.00s. At the end of this time, the boat continues for an additional6.00 s with an acceleration of +.518 m/s2. Followingthis, the boat accelerates at -1.49m/s2 for 8.00s. a) What is the velocity of the boat at 21.00 s? b) Find the total displacement of the boat. A speedboat starts from rest at 2.01m/s2 for 7.00s. At the end of this time, the boat continues for an additional6.00 s with an acceleration of +.518 m/s2. Followingthis, the boat accelerates at -1.49m/s2 for 8.00s. a) What is the velocity of the boat at 21.00 s? b) Find the total displacement of the boat.

Explanation / Answer

The velocity at the end of the first period is(7.00s)(2.01m/s2) = 14.07m/s. The velocity at theend of the second period is 14.07m/s +(6.00s)(0.518m/s2) = 17.18 m/s. The velocity atthe end of the third period is 17.18m/s +(8.00s)(-1.49m/s2) = 5.26 m/s. a) 5.26 m/s b) This can be found by taking the average speed in eachperiod multiplied by the time in the period. So, the totaldisplacement is equal to (7.00s)(14.07 m/s + 0 m/s)/2 +(6.00s)(17.18 m/s + 14.07 m/s)/2 + (8.00s)(5.26 m/s + 17.18 m/s)/2= 232.8m.

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