Question 1.1

Drone speeds up carefullyNJIT Physics : A drone can speed up under the careful control of a remote pilot2015 Chevy Corvette Z062015 BMW M1 Concept CarThe remote pilot can fly a Predator drone in an essentially straight coursefor 200,000m at a height of 9000m.Its cruise speed is relatively slow,in the range of 40m/s.Drones have many applications, Including dropping packages.

How quickly can a drone to speed up?A Predator drone speeds up from 30m/sto 50m/s. It travels 180m during that time. How many seconds does it take?6; b. 4.5; c. 3.6; d. 4.0; e. 9.0

Create a step by step solution:Sketch how the velocity changes with time.Check units.List the variables we know and want:Pick the physics equation:

Algebra:Arithmetic:Letter answer:Optional comment v=x/tBasic. (a isnt involved.) If needed, vave=(x-xo)/(t-to); vave=(v+vo)/2a=v/tBasic. (x isnt involved.) Often: a=(v-vo)/t; x=vo*t+at2/2Comes from Eqs. 1&2. Handy if no vv2=vo2+2axComes from Eqs. 3&4. Handy if no t.

Step by step solution:Sketch:

Units: OK.List the variables we know and want: x, vo, v, t=?Pick the physics equation:

xo=0 t=?x=180mv1=30m/sv2=50m/svtv=x/tBasic. (a isnt involved.) If needed, vave=(x-xo)/(t-to); vave=(v+vo)/2a=v/tBasic. (x isnt involved.) Often: a=(v-vo)/t; x=vo*t+at2/2Comes from Eqs. 1&2. Handy if no vv2=vo2+2axComes from Eqs. 3&4. Handy if no t.

x is areaAnswer, continued.5. Algebra:vave= x/t=(v1+v2)/2t=2x/(v1+v2)Arithmetic:t=2*180/(30+50)=4.5sAnswer: b.

What is the drones acceleration?We now know that t=4.5sStep by step solution:Sketch:

Units: OK.=List the variables we know and want: vo, v, t, a=?Pick the physics equation:

a=(v-vo)/ta=(50-30)/4.5=4.4m/s/sxo=0 t=4.5sx=180mvo=30m/sv=50m/svtv=x/tBasic. (a isnt involved.) If needed, vave=(x-xo)/(t-to); vave=(v+vo)/2a=v/tBasic. (x isnt involved.) Often: a=(v-vo)/t; x=vo*t+at2/2Comes from Eqs. 1&2. Handy if no vv2=vo2+2axComes from Eqs. 3&4. Handy if no t.

acceleration is slopeIs the drone nimble?a=(v-vo)/t=20/4.5=4.4m/s2.

For the 2015 Corvette, a=9.08m/s2The drone has around the acceleration of the Corvette. The drone is designed to use less force and so less gas and so it has a long range.