Aparticle on a spring moves in simple harmonic motion along the x axis between turning points x1 = 100 cm and x2 = 140 cm. at which is the following positions does the particle have maximum speed? (a) 100 cm (b) 110 cm (c) 120 cm (d) some other position (e) the same greatest value occurs at multiple points.

(c) 120 cm

Explanation:

from the question, given that;

X1 = 100 cm

X2 = 140 cm

From the knowledge in Simple Harmonic motion (SHM), we know that the speed of a particle will be maximum at the mean point. And this mean point is the mean of two extreme points,

therefore the mean = (X1 +X2 ) / 2 = (100+140) / 2

this gives 120cm

option C is therefore the correct option

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