in thousands. How many snowboards must be sold for the company to break even (i.e. that is when the profit, is 0). (6000) P, A rock is thrown down from a cliff that is 180 m high. The equation gives the approximate height of the rock above the water, where is the height in metres and is the time in seconds. h t When will the rock reach a ledge that is 105 m above the water? (3 sec) A helicopter drops an aid package. The height of the package above the ground at any time is modelled by the equation , where is the height in h metres and is the time in seconds. How long will it take the package to t hit the ground? (9 sec) Nintendo models the profit of its Super Mario Galaxy 2 game using the equation , where is x the number of games, in thousands, that the company produces and is the profit, in millions P of dollars. What are the break even points? (i.e. that is when the profit, is 0). (5000 and P, 11000) A stone is tossed from a bridge. Its height as a function of time is given by , where is the t time, in seconds, and is the height of the stone above the ground, in metres, at time For h t. how long is the stone in the air? (4 sec) Biff, the koala, has climbed to the top of a eucalyptus tree and is tossing down loose branches to koala Rocco. The height of the falling branches is modelled by the equation , where is the height of a branch above the h ground, in metres, and is the time, in seconds. How long does it take for t a branch of the eucalyptus to reach Rocco? (3 sec) The relationship between the height of a golf ball after it has been hit, metres, and the time h the ball is in the air, seconds, is given by . For how long is the ball in the air? For how long t is the ball above 367.5 (20 sec, 10 sec)
in thousands. How many snowboards must be sold for the company to break even (i.e. that is when the profit, P, is 0). (6000) A rock is thrown down from a cliff that is 180 m high. The equation gives the approximate height of the rock above the water, where h is the height in metres and t is the time in seconds. When will the rock reach a ledge that is 105 m above the water? (3 sec) A helicopter drops an aid package. The height of the package above the ground at any time is modelled by the equation , where h is the height in metres and t is the time in seconds. How long will it take the package to hit the ground? (9 sec) Nintendo models the profit of its Super Mario Galaxy 2 game using the equation , where x is the number of games, in thousands, that the company produces and P is the profit, in millions of dollars. What are the break even points? (i.e. that is when the profit, P, is 0). (5000 and 11000) A stone is tossed from a bridge. Its height as a function of time is given by , where t is the time, in seconds, and h is the height of the stone above the ground, in metres, at time t. For how long is the stone in the air? (4 sec) Biff, the koala, has climbed to the top of a eucalyptus tree and is tossing down loose branches to koala Rocco. The height of the falling branches is modelled by the equation , where h is the height of a branch above the ground, in metres, and t is the time, in seconds. How long does it take for a branch of the eucalyptus to reach Rocco? (3 sec) The relationship between the height of a golf ball after it has been hit, h metres, and the time the ball is in the air, t seconds, is given by . For how long is the ball in the air? For how long is the ball above 367.5 (20 sec, 10 sec)
2_-_introduction_to_quadratic_equations.docx