Question

The motion of particle is described by the equation x = a +
bt², where a = 15 cm and b = 3 cm/sec². Its instant velocity at
time 3 sec will be
(a) 36 cm/sec (b) 9 cm/sec
(c) 4.5 cm/sec (d) 18 cm/sec

Answer 1

Answer:

the correct option is d

Answer 2

Answer:

The correct answer is d)18cm/sec

Explanation:

Given a=15 cmb=3cm/sec2t=3sec

x=a+bt2

Differentiating w.r.t t, we get

dtdx=2bt

v=2bt

Substituting the values

v=2×3×3

v=18 cm/sec

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