Final answer:
To find Mario's final velocity after sliding down a hill, calculate the net force acting on him, use Newton's second law of motion, and apply the equations for uniformly accelerated motion. The final velocity of Mario after 5 seconds will be approximately 17.4 m/s.
Step-by-step explanation:
To find the speed at which Mario will be traveling after 5 seconds, we need to determine the net force acting on Mario and then use Newton's second law of motion. The net force can be calculated using the force due to gravity and the force of kinetic friction. After finding the net force, we can use the equation for acceleration to find the acceleration of Mario.
First, let's find the components of the force due to gravity parallel and perpendicular to the incline. The force due to gravity parallel to the incline can be calculated using the formula F_parallel = m * g * sin(theta), where m is the mass of Mario and theta is the angle of the incline. The force of kinetic friction can be calculated using the formula F_friction = u * m * g * cos(theta), where u is the coefficient of kinetic friction. The net force can be calculated by subtracting the force of kinetic friction from the force due to gravity parallel to the incline.
Once we have the net force, we can use Newton's second law of motion (F_net = m * a) to find the acceleration of Mario. Since the acceleration is constant, we can use the equation for uniformly accelerated motion to find the final velocity of Mario after 5 seconds, given an initial velocity of 0.
Plugging in the values given in the question, we can calculate the final velocity of Mario after 5 seconds using the equations and formulas mentioned above. The final velocity will be approximately 17.4 m/s.
Learn more about Hill sliding and net force acting on an object