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For Vertical Velocity: Tanθ =x/8.2 m/s^2 X=8.2 * √ 3 = 14.2 m/s^2. It is downward, so -14.2 m/s^2 To measure the time, divide velocity by acceleration a=v/t t=v/a t=-14.2 m/s / -9.8 m/s^2 t= 1.45 s For distance, multiply velocity by time d= v*t d= 14.2
At 28.1 meters, the PE = m *g * h PE=2.48 kg * 9.8 m/s^2 * 28.1 m = 683 J KE = 0 because the object has not moved. ME = KE + PE = 683 J At 0 meters, the KE = PE KE = 683 J PE = 0 because PE = m*g*h and h = 0 meters ME = KE + PE = 683 J
If two vectors are perpendicular their dot product will equal zero. (a+2b)•(5a-4b)=0 5a•a+10a•b-4a•b-8b•b=0 6a•b=8b•b-5a•a 6a•b=8-5=3 cosθ=3/6. θ=π/3
