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Drone speeds up carefully NJIT Physics : A drone can speed up under the careful control of a remote pilot 2015 Chevy Corvette Z06 2015 BMW M1 Concept Car The remote pilot can fly a Predator drone in an essentially straight course for 200,000m at a height of 9000m. It’s cruise speed is relatively slow, in the range of 40m/s. Drones have many applications, Including dropping packages.
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How quickly can a drone to speed up? A Predator drone speeds up from 30m/s to 50m/s. It travels 180m during that time. How many seconds does it take? a.6; b. 4.5; c. 3.6; d. 4.0; e. 9.0
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Create a step by step solution: 1.Sketch how the velocity changes with time. 2.Check units. 3.List the variables we know and want: 4.Pick the physics equation: 5.Algebra: 6.Arithmetic: 7.Letter answer: Optional comment 1.v=x/tBasic. (a isn’t involved.) If needed, v ave =(x-xo)/(t-to); v ave =(v+vo)/2 2.a=v/tBasic. (x isn’t involved.) Often: a=(v-vo)/t; 3.x=vo*t+at 2 /2Comes from Eqs. 1&2. Handy if no v 4.v 2 =vo 2 +2axComes from Eqs. 3&4. Handy if no t.
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Step by step solution: 1.Sketch: 2.Units: OK. 3.List the variables we know and want: x, vo, v, t=? 4.Pick the physics equation: xo=0 t=?x=180m v1=30m/sv2=50m/s v t 1.v=x/tBasic. (a isn’t involved.) If needed, v ave =(x-xo)/(t-to); v ave =(v+vo)/2 2.a=v/tBasic. (x isn’t involved.) Often: a=(v-vo)/t; 3.x=vo*t+at 2 /2Comes from Eqs. 1&2. Handy if no v 4.v 2 =vo 2 +2axComes from Eqs. 3&4. Handy if no t. x is area
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Answer, continued. 5. Algebra:v ave = x/t=(v1+v2)/2 t=2x/(v1+v2) 6.Arithmetic:t=2*180/(30+50)=4.5s 7.Answer: b.
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What is the drone’s acceleration? We now know that t=4.5s
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Step by step solution: 1.Sketch: 2.Units: OK.= 3.List the variables we know and want: vo, v, t, a=? 4.Pick the physics equation: 5.a=(v-vo)/t 6.a=(50-30)/4.5 =4.4m/s/s xo=0 t=4.5sx=180m vo=30m/sv=50m/s v t 1.v=x/tBasic. (a isn’t involved.) If needed, v ave =(x-xo)/(t-to); v ave =(v+vo)/2 2.a=v/tBasic. (x isn’t involved.) Often: a=(v-vo)/t; 3.x=vo*t+at 2 /2Comes from Eqs. 1&2. Handy if no v 4.v 2 =vo 2 +2axComes from Eqs. 3&4. Handy if no t. acceleration is slope
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Is the drone nimble? a=(v-vo)/t=20/4.5=4.4m/s 2. For the 2015 Corvette, a=9.08m/s 2 The drone has around ½ the acceleration of the Corvette. The drone is designed to use less force and so less gas and so it has a long range.
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