1.

A rocket I fired upwards vertically with a net acceleration of 4m//s^(2) and initial velocity zero.After 5 seconds its fuel is finsihed and it deccelerated with g.At the highest point its velocity becomes zero. There after it accelerates downwards with acceleration g and return back to ground. i)Plot velocity-time graph for complete journey ii)Displacement-time graph for the complete journey. (Take g=10m//s^(2)) .

Answer»

Solution :STAGE:1To find velocity of ROCKET after 5 seconds.
`V_(A)=0+at_(OA)=(4)(5)=20MS^(-1)`
StageII:To find further TIME of ascent after 5 seconds .
0=2 `"gt"_(AB)""therefore t_(AB)=(20)/(10)=2seconds`
Here,the total vertical displacement of stage (i) and
Stage (ii) is=area of OAB `=(1)/(2)(7)(20)=70 m.`


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