A particle move in a straight line and its position x at time t isx2=2+t.its acceleration is
A particle move in a straight line and its position x at time t isx2=2+t.its acceleration is
aditi verma , 9 Years ago
Grade 12
General Physics> A particle move in a straight line and it...
2 AnswersVikas TU
Differentiate both sides,
2x dx/dt = 1
take dx/dt = v
v = (1/2)x
Now, write dv/dt = dv/dx . dx/dt = (1/2) (1/2)x = (1/4)x = (1/4)*root(t + 2).
is the answer.
yashasvi
we can double differentiate x w.r.t t as,
x^2= 2+t
x=(2+t)^-1/2
a=d^2x/dt^2 = dv/dt = -1/4(2+t)^-3/2
=-1/4(2+t)^-3/2=-1/4x^3
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