Αποτελέσματα Αναζήτησης
• Student will solve quadratics by using the quadratic formula. • Student will apply methods to solve quadratic equations used in real world situations. A "projectile" is any object that is thrown, shot, or dropped. Usually the object is moving straight up or straight down. 1. What is the height (above ground level) when the object is launched? 2.
Quadratic Word Problems (Solve on Separate Paper) 1. A rocket is launched from atop a 101-foot cliff with an initial velocity of 116 ft/s. a. Substitute the values into the vertical motion formula h = −16t2 + vt + c. Let h = 0. b. Use the quadratic formula find out how long the rocket will take to hit the ground after it is launched.
quadratic function: h(t)=−16t 2+4900. The height of the object above the ground is in feet and the time, t, is in seconds. Determine when the object hits the ground. 3. The height h of an object t seconds after being released can be modeled by the equation: h(t) = - 1 2 at 2 + vt + s
Quadratic equations can be used to model a variety of situations such as projectile motion and geometry-based word problems. When solving a given quadratic equation using the quadratic formula, we give the answers in exact form, in other words, no decimals. In application problems however, it is acceptable to write the answers in decimal form.
Identify the vertex of the graph of f ( x ) = ( x − a ) ( x − b ) , where a and b are any real numbers. Show your work.
QUADRATIC WORD PROBLEMS General quadratic equation: y = ax2 + bx + c General quadratic equation of projectile motion: h(t) = ½ gt2 + v 0t + h0 h(t): height as a function of time (m or ft) g: approximate acceleration of gravity is -9.81 m/s2 or -32.17 ft/s2 t: time (s) v0: initial velocity (m/s or ft/s) h0: initial height (m or ft)
We will derive a transformation form for a general quadratic function, an equation that identifies the vertex and axis of symmetry of the graph, but to graph any particular quadratic, you may not need all of the steps.
