A "Patterns" Approach to Physics



Using Equations and Calculations Analyze MotionName ___________________________Physics:NGSS 1-2Period _____________Pre-Thinking On the graphs below, sketch distance vs. time and velocity vs. time graphs for an object constantly speeding up (accelerating). distance vs. time velocity vs. time360426013970381006985Pattern ________________________ Pattern ________________________Explain why the shape of this graph makes sense: Explain why the shape of this graph makes sense:1. A golf ball is dropped off the top of the bleachers in free fall. Free fall means the ball accelerates at 10.0 m/s/s (we will neglect air resistance for this problem).time (s)+/- 0.2Distance (m)+/- 1.0Velocity(m/s) +/- 0.5Acceleration (m/s/s)0.00.00.010.01.05.010.010.02.020.020.010.03.045.030.010.04.080.040.010.05.0125.050.010.0Graph the data on Desmos, and sketch the graphs below. Distance vs. TimeVelocity vs. Time Write the equation that represents each graph, including the constant (a) values given in Desmos. distance = velocity = Determine the units of the constant in the distance equation. What do you think this value represents? Hint: Rearrange the equation above so that you have written it in the form constant = ______________Determine the units of the constant in the velocity equation. What do you think this value represents? Hint: Rearrange the equation above so that you have written it in the form constant = ______________Go back to part a, and write the appropriate units next to your constants. STOP. Teacher Initials: _______How does the value of the acceleration compare to the value of the constant in the velocity equation?Explain why this makes sense. Write a generic equation for the velocity of an object while undergoing a constant acceleration. How does the value of the constant in the distance equation compare to the value of the constant in the velocity equation?Now, look back at parts b and e. Use this information to write a generic equation for the distance an object travels while constantly accelerating. STOP. Teacher Initials: _______What is the value of the y-intercept on the velocity vs. time graph? What does it represent?What distance and velocity would you predict for the ball after it has fallen for 10.0 seconds? Show your work using the 4-Step Method. Predicted Distance:Predicted Velocity:STOP (collaborate and listen… AKA Class Discussion)Motion Notes:Distance travelled, if object has initial velocity:Velocity of an object, if it starts with an initial velocity:Indicating if an object is accelerating or decelerating: 2. A ball bearing is rolling down a long ramp, accelerating at a rate of 2 m/s/s. It is starting with an initial velocity of 5 m/s. Fill in the data table below.time (s)+/- 0.2Distance (m)+/- 1.0Velocity(m/s) +/- 0.5Acceleration (m/s/s)0.00.05.01.02.03.04.05.0Graph the data BY HAND in the spaces below. Distance vs. TimeVelocity vs. Time Think about the equation that you used to calculate the values in the table above. Write the GENERIC motion equations used in the spaces below. distance = velocity = Now, fill in the values of constants (acceleration, initial velocity) into the equations from part k, and write SPECIFIC equations that define the situation we are considering. distance = velocity = What distance and velocity would you predict for the ball after it has fallen for 15.0 seconds? Show your work using the 4-Step Method. Predicted Distance:Predicted Velocity:STOP. Teacher Initials: _______3. A ball rolling up a hill slows down at 8.0 m/s/s. The initial velocity of the ball is 32.0 m/s. time (s)+/- 0.2Distance (m)+/- 1.0d =________________Velocity(m/s) +/- 0.5v = __________Acceleration (m/s2)a = _______0.00.032.0- 8.01.028.024.0- 8.02.0- 8.03.0- 8.04.0- 8.0Graph the data BY HAND in the spaces below. Distance vs. TimeVelocity vs. Time Find the slope of the velocity vs. time graph. Include units in your final answer. Show your work:Select 2 separated points on the line and label them (X,Y)Use the equation Y2-Y1X2-X1What does the slope tell you about the motion of the ball? Hint: look at the units of the slope.What is the value of the y-intercept on the velocity vs. time graph? What does it represent?Think about the equations that you used to calculate the values in the table above. Fill in the values of constants (acceleration, initial velocity) into those equations, and write SPECIFIC equations for this motion in the spaces in the data table, above. What does the x-intercept on the velocity vs. time graph signify? STOP. Teacher Initials: _______ ................
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