Sam is taking his girlfriend Sally out for a ride in his boat. He starts out at rest. He accelerates with an acceleration of 0.199 m/s^2 for 83.9 s. At that time Sally decides they are going fast enough and the boat moves at constant speed for a distance of 283 m. Then Sally decides she want to go a little faster and they accelerate at 0.112 m/s^2 for another 40.5 s
q 1: What is the final velocity of the boat?
q 2: What is the total displacement of the boat?
q 3: What is the total time the boat moves?
nvm, figured it out myself
To find the velocity of the boat after each stage of motion, we can use the equations of motion.
1. Stage 1 - Initial velocity is 0 m/s, acceleration is 0.199 m/s^2, and time is 83.9 s.
Using the equation of motion: v = u + at, where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time.
Substituting the given values, we can find the final velocity after 83.9 seconds.
2. Stage 2 - The boat moves at a constant speed for a distance of 283 m.
Since the boat is moving at a constant speed, there is no acceleration involved. Hence, the velocity remains constant at the value obtained from the first stage.
3. Stage 3 - Initial velocity is the final velocity obtained from stage 2, acceleration is 0.112 m/s^2, and time is 40.5 s.
Again, using the equation of motion: v = u + at, we can find the final velocity after 40.5 seconds.
By following these steps and performing the calculations, we can determine the velocity of the boat after each stage of motion.