Problems For class #1 The height,h, in metres, of a projectile t seconds after being fired into the air is given by the equation.

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Presentation transcript:

Problems For class #1 The height,h, in metres, of a projectile t seconds after being fired into the air is given by the equation

Problems for class #1 When is the projectile 40 metres above the ground?

Problems for class #1 The projectile is 40 metres above the ground at 3 and 5 seconds.

Problems for class #2 Dieter makes a journey of 430 km , travelling 160 km by bus and 270 km by car. If the car averages 10km/h faster than the bus and the whole journey takes 5 hours, what is the speed of the car?

Let x=speed of the bus in km/h Thus x+10= speed of car in km/h

Problems for class #2 Let x=speed of the bus in km/h Thus x+10= speed of car in km/h

Problems for class#3 A car is travelling a distance of 212 km. It travels 98 km on paved road and the rest on gravel road causing them to reduce their speed by 30km/h. If the trip took 4 hours, what was the speed of the car during the first part of the trip?

Problems for class #3 Let x= speed on paved road x-30=speed on gravel road

Problem for class #3 Use Quadratic Formula

Problems for class #3 Answer the question. The speed on paved road is 72.9 km/h The speed on gravel road is 42.9 km/h

Problems for class #4 A machine produces open boxes using square sheets of metal. The machine cuts equal sized squares measuring 2 cm on a side from each corner. Then the machine shapes the metal into an open box by turning up the sides. If each box must have a volume of 200 cubic cm, what should the dimensions of the piece of sheet metal be?

Problems for class #4 Let x= the length of the side of the sheet metal Since the metal is square then x= width of the side of the sheet metal. Volume= (X-4)(x-4)(2)=200 Solve the equation for x.

Some problems for class

Problems for class #4 Thus the sheet metal is 14cm by 14 cm.

Problems For Class #5 A chemical plant is rectangular, being 100m long and 60m wide. A safety zone of uniform width surrounds the plant. If the area of the safety zone equals the area of the plant, what is the width of the safety zone to the nearest tenth of a metre?

Problems for class #5 Let x represent the width of the safety zone, in metres 100+2x 100 60 60+2x

Problems for class #5

Problems For Class #8 Use quadratic formula

Some problems for class #6 The safe stopping distance,d, in metres, of a motorcycle on a wet pavement is given by where V is the speed of the motorcycle in metres per second. Find the speed at which the safe stopping distance is 50 m.

Problems for class #6

Problems for class #6

Problems for Class #7 A group of students share equally in the $140 cost of boat. At the last minute three students drop out and this raises the share of each remaining student $15. How many students were in the group at the outset?

Problems for class #7 Let x= # of students initially

Problems for class #7

Problems for class #8 Three consecutive odd integers are found such that the sum of the squares of the largest and smallest is 3706. What are the three integers?

Problems for class #8 Let x=smallest odd integer X+2 = next smallest odd integer X+4 = largest odd integer

Problems for Class #9 An aircraft is making a round trip 800 km each way. On the outward leg of the trip, the aircraft encounters a headwind of 20 km/h but, on the way home, it benefits from a 20 km/h tailwind. The total flying time for the round trip was 9 hours. What is the average cruising speed of the aircraft in still air ?

Problems for Class #9 Let x=speed of wind in still air Distance Rate Time Headwind 800 X-20 Tailwind X+20

Problems for Class #9

Problems for class #9