Question

LU
(25) if x denotes displacement in time t and x = a cost then
acceleration is :-​

Answer 1

if x denotes displacement on time and x varies as x = acost ......(1)

we know, velocity is the rate of change of displacement with respect to time.

i.e., dx/dt = v

and acceleration is the rate of change of velocity with respect to time,

i.e., dv/dt = A

so, for finding acceleration we have to differentiate the displacement function twice with respect to time.

now, differentiating x with respect to time.

dx/dt = v = a . d(cost)/dt = -asint

hence, v = -asint

again, differentiating v with respect to time,

dv/dt = A = -a. d(sint)/dt = -acost

hence, acceleration, A = -acost

from equation (1),

A = -ax , hence acceleration can also be written as A = -ax.

Answer 2

Answer:

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