Hester – math expert in math-master.org
Hester

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Pre-Algebra • Algebra • Trigonometry • Statistics • Solid Geometry • Calculus

Mathematics has been my favourite subject since childhood. I studied mathematics in secondary education and secured full marks in this subject which gave me great joy and boost as i was attached to this subject. Then I opted Pre-Engineering in my higher secondary education which was mainly about the mathematics. Then I got admission in Engineering University which is ranked as Number 1 Engineering University of my country and studied different subjects of mathematics there on graduate level. I really enjoy while solving the maths questions and get too much involved in the basics and different branches of maths as it is referred as mother of sciences and I am emotionally attached to this subject.

Math diplomas Hester – math expert in math-master.org, diplomas 1

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Firefighters are throwing a jet of water at a burning building, using a high pressure hose that gives the water a speed of 25.0 m/s when exiting the nozzle. Once it leaves the hose, the water moves with projectile motion. Firefighters adjust the elevation angle of the hose until it takes 3.00 s for the water to reach a building 45.0 m away away. Ignore air resistance and assume that the hose nozzle It is at ground level. 1) Investigate and explain the following concepts: vector, scalar, velocity, speed, distance, displacement and reference system. 2) Solve the following numerically, completely and in detail: a) Calculate the angle of elevation. b) Determine the speed and acceleration of the water at the highest point of its trajectory. c) Determine the height above the ground at which the water hits the building. and with what speed value it does it. 2 3) Analyze and explain how it would affect the previous results if the angle of inclination is increased. 4) Analyze and explain how it would affect the previous results if the angle of inclination is decreased. 5) Analyze and explain how it would affect the previous results if the magnitude of the exit velocity through the nozzle will increase. 6) Analyze and explain how it would affect the previous results if the magnitude of the exit velocity through the nozzle will decrease. 7) Analyze and explain how it would affect the previous results if the wind were a variable to consider. 8) If the water jet reached its maximum height before colliding with the wall of the building, what value should the magnitude of the acceleration have? horizontal and vertical at that moment. 9) If the water jet reached its maximum height before colliding with the wall of the building, what value should the horizontal and vertical speed have in that moment.

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