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A stone is thrown vertically upwards and its height at any t...

A stone is thrown vertically upwards and its height at any time t seconds is h=45t9t2. Find the maximum height reached

A.

45. 25 m

B.

45.50 m

C.

56.00 m

D.

56.25 m

Correct answer is D

h=45t9t2

dhdt=4518t=0

45=18tt=2.5s

h(2.5)=45(2.5)9(2.5)2=112.556.25

= 56.25m.