Sam is taking his girlfriend Sally out for a ride in his boat. He starts out at

Question

Sam is taking his girlfriend Sally out for a ride in his boat. He starts out at rest. He accelerates with an acceleration of 0.287 m/s^2 for 88.8s. At that time Sally decides they are going fast enough and the boat moves at constant speed for a distance of 118 m. Then Sally decides she wants to go a little faster and they accelerate at 0.301 m/s^2 for another 39.4s. 1) What ist he final velocity of the boat? 2) What is the total displacement of the boat? 3) What is the total time the boat moves?

Explanation / Answer

1st part u=0 , a=0.287 m/s^2 , t=88.8 s v=u+at = 25.486 m/s s1= ut+0.5*at^2= 1131.56 m 2nd part s2=118 m , v=25.486 m/s t= 4.63 s 3rd part a=0.301 m/s^2 , t=39.4 s , u=25.486 m/s v= u+at = 37.345 m/s s3 =ut+0.5 at^2 = 1237.778 m a) final velocity = 37.345 m/s b) total displacement = s1+s2+s3 = 2487.338 m c) boat moves for = 88.8+4.63+39.4= 132.8 sec

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