The speed v of a particle moving along a straight line, when it is at a distance x from a fixed point on the line is v 2 = 144 – 9x 2 . Select the correct alternative(s):
A
The motion of the particle is SHM with time period T = 
unit
unit
B
The maximum displacement of the particle from the fixed point is 4 unit
C
The magnitude of acceleration at a distance 3 units from the fixed point is 27 unit
D
The motion of the particle is periodic but not simple harmonic
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(a, b, c)
v 2 = 144 – 9x 2 2v 
= – 18x
∴ v 
= – 9x ⇒ ω = 3 ⇒ T = 
units
Also, v
2 = 144 – 9A 2 = 0
A = 4 units
Now, |a| = ɷ 2 x = 9 × 3 = 27 units
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