derive the equation of motion for a particle (a) falling vertically (b) projected vertically.
Answers
Answer:
Equation of motions for bodies under gravity :
1. V=u+gt -------1
1. V=u+gt -------12.s=ut+1/2at²----------2
1. V=u+gt -------12.s=ut+1/2at²----------23.v²-u²=2as----------3
Equations of motion for a particle Falling vertically :
Let us consider an object falling from height with initial velocity u=0 m/s.
The velocity continuously increases as it falls through a height h.
The direction of g and the direction of motion of body are downwards.
Therefore g is taken as positive.
The above equations of motion can be written as :
V=gt-------------4
V=gt-------------4h=1/2gt²---------5
V=gt-------------4h=1/2gt²---------5v²=2gh-------------6
Equations of motion for a body thrown upwards:
When body is projected upwards with initial velocity =u m/s and it reaches a height h.
Equations of motions can be written as :
v=u-gt----------7
v=u-gt----------7h=ut-1/2gt²-------------8
v=u-gt----------7h=ut-1/2gt²-------------8v²-u²=-2gh--------------9
Explanation:
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