# exam1 - UD Phys207W09 Exam I Name YiA-er You must show all...

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=- CL d. >c UD Phys207W09 Exam I Name YiA.,-er You must show all of your work for credit. Include units with your numerical answers. 1. [10] Starting with a=dv/dt, derive the following equations of motion for constant acceleration by integrating and applying appropriate boundary conditions. v=vo-at x=xo+vot+(1/2)at2 Now combine the two equations to eliminate the variable t to find c) v2=v„2+2a(x-x„) V-Vo k o + V 0 ( -f fr2 K— }CC = So ou+si.AQ- V 2 4-16 2---)-VV) Vr, — Vz,2 c k. c( ^ Vo22- 2_ V +- Vo a-e,v „aciL A f ‘c v32--

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57h1(5 Yrq V6 j a 2. [15] A boat is attempting to traverse a river whose current has a speed of v= 5m/s. The river has a width of d=100m, and the boat has a speed of v=10m/s in still water. Determine the angle e which the boat should depart such that it lands on the opposite side of the river. What is the time that it takes for the boat to reach the other side of the river? .C?A c_ \7 6q Vrq r. 1,1 X \-r 6 r Vho Vc ci
ap= 6k_Gs3a ay V 9 + -q.,f Ys-ocorA 2 — Y2_ P2_4Stv;e4,32-4-q7--) L 2- - k ik v n &I1) 3. [25] A rocket is launched from rest and moves in a straight line at an angle of 0=30° above

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