#1) When the acceleration is constant, we can easily find the velocity acquired as a function of time. Velocity acquired = acceleration X time What is the speed of a motorcycle after 10 seconds if the acceleration is 2 m/s^2. Question 1 options: 2 m/s 10 m/s 20 m/s 40 m/s #2) When the acceleration is constant, we can easily find the the final velocity of an object. Total Velocity = Initial velocity + acceleration X time You are traveling at 2 m/s on the 405 freeway. You are behind a car that is traveling at 3 m/s. Thus you accelerate at .2 m^2 for 5 sec. Will you be able to pass the car and how much faster or slower than them are you going? Question 2 options: No. You will not pass him since your final speed is 2 m/s. No since your final speed is 3 m/s and that is the same speed as the driver. Yes since you have accelated and your speed is 3 m/s. Yes since you have accelerated and your speed is over 3 m/s. #3) As an example, think about your automobile. You step on the gas and accelerate uniformly. At the end of 5 seconds, you are moving at 25 m/s. You then step on the brakes and end up stopping in 5 seconds. Your distance as a function of time is given in the table. What is the average velocity between 2 and 3 seconds? Time(s).|.Location(m).|.Velocity(m/s).|.Acceleration (m/s/s) 0_________0 m_____ 1_________5 m_____ 2________15 m_____ 3________30 m_____ 4________50 m_____ 5________75 m_____ 6_______100 m_____ 7_______120 m_____ 8_______135 m_____ 9_______145 m_____ 10______150 m______ 11______150 m______ To work this problem, fill out the table given above with the time, distance and speed. Use the definition of average velocity given earlier in this exercise and recognize that speed and velocity are the same for one dimensional motion. Average Velocity = ( location 2 - location 1 ) / total time = ( x2 - x1 ) / ( t2 - t1 ) Then answer the question below to check your answer. The next problem will give you the complete table so that you can check your answer. Question 3 options: 10 m/s 15 m/s 20 m/s 25 m/s