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The distance(s) in metres covered by a particle in motion at...

The distance(s) in metres covered by a particle in motion at any time, t seconds, is given by S =120t - 16t2. Find in metres, the distance covered by the body before coming to rest.

A.

220

B.

222

C.

223

D.

225

Correct answer is D

s = 120t - 16t2 - 16t2

dsdt=12032t

120 - 32t = 0

32t32 = 12032

t = 3.75

s = 120(3.75) - 16(3.75)2

= 450 - 225 

= 225