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1. The displacement x of a particle at time t along a
straight line is given by x = alpha- Beta t + gama t^2? Find the
acceleration of the particle.
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11th
Physics
Motion in a Straight Line
Acceleration
The displacement x of a par...
PHYSICS
The displacement x of a particle at time t along a straight line is given by x=α−βt+γt2. Find the acceleration of the particle.
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Given displacement x=α−βt+rt2.........(1)
where α,β and r are constant
Differentiation equation (1) with respect to t, we have
dtdx=dtd(α)−dtd(βt)+dtd(γt2)
dtdx=−β+2γt......(2)
Differentiating equation (2) with respect t again, we get
dt2d2x=−dtd(β)+dxd(2γt)
=2r
We know that acceleration is dt2d
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