This lesson will introduce you to equations of motion called kinematic equation This lesson will introduce you to equations of motion called kinematic

Embed Size (px)

Citation preview

This lesson will introduce you to equations of motion called kinematic equation This lesson will introduce you to equations of motion called kinematic equation You will be able to use these equations to solve kinematic related questions You will be able to use these equations to solve kinematic related questions SPH 3U Grade 11 U Physics By the end of this lesson, you will be able to: What are we going to cover today? Look back at v-t graphs SPH 3U Grade 11 U Physics The five equations Sample problems Homework SPH 3U Grade 11 U Physics Recall : Slope of a d-t graph is v Slope of a v-t graph is a Slope of a v-t graph is a Area under a v-t graph is d Area under a v-t graph is d Area under a a-t graph is v Area under a a-t graph is v time (s) velocity (m/s [U]) vfvf vivi titi tftf SPH 3U Grade 11 U Physics Slope = a area = d What would we need in order to graph the acceleration of a car? Motion Detector + computer with specialized software slow- motion camera Some kind of scale / reference for distance Timer 3s Five Key Uniform Acceleration Equations As shown in the previous lessons, graphical analysis is an important tool physicists to use to solve problems. However, sometimes we have enough information to solve problems algebraically. Algebraic methods tend to be quicker and more convenient than graphical analysis. When solving uniform acceleration problems, choose which equations to use based on the given and required variables of the problem. B = base (run) = t h = height (rise) = v l = length (run) = t h = height (rise) = v i Y=intercept Like Terms Get rid of the brackets Via multiplication = SP #1-3 p.38-39 It is important to note that these five equations are used only when an object undergoes acceleration, a change in velocity. If an object is travelling at a constant velocity, we simply use the equation for constant velocity from section 1.2. REMEMBER: there is only 5 possible variables in any of these problems. Displacement, time, initial velocity, final velocity, & average acceleration Problems in this course can only contain 4 of the possible 5 variables. Each of the 5 equations is therefore missing a different variable this ensures that no matter what variable is missing, we have a formula we can use to solve the problem. This also means we can figure out what formula we need to use by looking at our givens OR determining which of the 5 variables listed above we DONT HAVE SPH 3U Grade 11 U Physics Ex 1: A runner jogging west at 5.0 m/s accelerates to 12 m/s while covering 150 m. What is the acceleration of the runner? v i = 5.0 m/s Soln: Given: v f = 12 m/s d = 150 m Required: a Analysis:. Look for equation with all of these variables. SPH 3U Grade 11 U Physics 2010 The acceleration is.40 m/s 2 [W] 1.5 Homework Practice # 1,2 p.39 Questions #1-6 p.39