Question

Use the worked example above to help you solve this problem. An airboat with mass 4.30 102 kg, including the passenger, has an engine that produces a net horizontal force of 8.02 102 N, after accounting for forces of resistance. (a) Find the acceleration of the airboat. m/s2 (b) Starting from rest, how long does it take the airboat to reach a speed of 15.1 m/s?

Answer 1

Answer:

a) a = 1,865 m / s²  and  b)  t = 8.1 s

Explanation:

a) Let's use Newton's second law to find acceleration, we can work the equation in scalar form because displacement and force have the same direction

         F = m .a

         a = F / m

         a = 8.02 10² /4.3 10²

         a = 1,865 m / s²

b) We use kinematic relationships in one dimension

        vf = vo + at

        vf = 0 + a t

         t = vf / a

          t = 15.1 / 1.865

          t = 8.1 s