During the final 20 seconds the horse underwent a different uniform acceleration. During the next 10 seconds the horse accelerated uniformly. During the first 10 seconds the horse moved with constant speed. (moderate) Consider the motion of the horse in the sketch below. (moderate) If the time axis on the v-t graph in the previous question was shifted slightly upward, how would that change the magnitude of your answers?Ħ. What is the acceleration of this object?ĥ. If the initial position of the object was at x = -15 meters, what it the final position?Ĭ. How far does the object move in the first 8 seconds?ī. It takes 8 seconds for the object to come to rest (momentarily.) The object moves backward for an additional 2 seconds until it reaches a final velocity of 2.5 m/s backward.Ī. The initial velocity on the graph is 10 m/s forward. (moderate) By analyzing the v-t graph shown here, answer the questions below. If it is below the time-axis, the displacement is negative.What is the total area under the v-t graph you created? How does that answer correlate to the x-t graph?Ĥ. If the area is above the time axis, the displacement is positive. The area always represents a velocity multiplied by a time. In the case of a linear graph this still refers to the areas above and below the lines.
Displacement can be determined on a v-t graph by studying what are called the areas "under the curve". What is the average velocity during the final three seconds?į. What is the average speed of the object over the entire experiment?Į. What is the average velocity of the object over the entire experiment?ĭ. What is the velocity of the object during the first 5 seconds?Ĭ. Create an accurate v-t graph that expresses the same motion.ī. The final segment of the graph has a width of 3 seconds.Ī. The width of the middle segment of the graph is 6 seconds. The first segment of the graph has a width of 5 seconds and a height of 7 m. (moderate) By analyzing the x-t graph shown here, answer the questions below. (easy) If the time axis in question #1 was shifted upward how would that change your response to the question?ģ. Describe (in words) what the car is doing during the experiment and what devices on the car must be utilized for the motion to occur.Ģ. (easy) The graph below shows how a car moves along a straight road as a function of time. With the perfect fit option, there is a function that will intersect all 10 points! (With the random points option, they may only be able to zap 3 or 4 points.)Įxperimenting with this Gizmo really challenges students’ knowledge of quadratics.Click here to see the solutions to these problems.ġ.
Students can choose either a random scatter of points, or a set of “perfect fit” points. In the Gizmo, students are challenged to create a function in polynomial or vertex form whose graph intersects (or “zaps”) as many given points as possible. The Zap It! Game Gizmo offers a unique way for students to test their knowledge of quadratic functions. Math games help students solidify their understanding of important mathematical concepts while having fun. Games are a great way to keep students engaged and learning.
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