40 Motion in One DimensionP2.46At any time t, the position of the ball released from rest is given by yhgt1212=−. At time t, theposition of the ball thrown vertically upward is described by yvtgti2212=−. The time at which thefirst ball has a position of yh12=is found from the first equation as hhgt2122=−, which yieldsthg=. To require that the second ball have a position of yh22=at this time, use the secondequation to obtain hvhgghgi212=−FHGIKJ. This gives the required initial upward velocity of the secondball as vghi=.P2.47(a)vvgtfi=−: vf=0 when t=300. s, g=980ms2. Therefore,ti==()=9 803 0029 4...mss2ch.(b)yyt−=+12−==1229 43 00441.smbgaf*P2.48(a)Consider the upward flight of the arrow.ayyyyyfyiyfi
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