If a is acceleration, v is velocity, x is position, and t is time, then check the validity (wrong or correct) of the following equations using dimensional analysis: a) t2 = 2x/a b) t = x/v c) a = v/x d) v = a/t ALSO , The term 1/2 PV^2 rv2 occu
Dimensional analysis: show that each of following equations is dimensionally correct or incorrect x=distance, v=velocity, v.=velocity, a=acceleration, t=time 1. x=vt2-at 2. v2=2ax-v2 3. x=v2/4a 4. V=1/3pieR3h where V=volume of a conical shape, pie=con tan t, R=radius, and h=height
Check the following equations for dimensional consistency where t is time (s), v is speed (m/s), a is acceleration (m/s2 ), and x is position (m): a) ? = (? ^2/ 2?) b) ? = 1/ 2 ?? c) ? = √( 2?/ ? ).
Check the following equations for dimensional consistency where t is time (s), v is speed (m/s), a is acceleration (m/s2 ), and x is position (m): a) ? = ? 2 2? b) ? = 1 2 ?? c) ? = √ 2? ? .
9. A particle moves along the x-axis so that its velocity v at time t, for0 sts 5, is given by v(t) In(t2-3t +3). The particle is at position x 8 at time t 0. a) Find the acceleration of the particle at time t 4. b) Find all times t in the open interval 0<t <5 at which the particle changes direction. During which time intervals, for 0st s 5, does the particle travel to the left? c) Find...