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

a) a = 1,865 m / s² and b) t = 8.1 s

Step-by-step 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