Question

The velocity of the particle is v=10 + 3(a1 +a2 )t, where a1 and a2 are constants and t is time. What is the acceleration of the particle ?
(a) 6 a2 (b) 3 a2 (c) 8 a2 (d) none.​

Answer 1

Given info : the velocity of a particle is given by, v = 10 + 3(a₁ + a₂)t, where a₁ and a₂ are constants and t is time.

To find : the acceleration of particle.

Solution : we know, acceleration is the rate of change of velocity with respect to time.

i.e., a = dV/dt

So, first derivative of velocity, will give us acceleration of particle.

differentiating v with respect to time t,

a = dv/dt = d(10 + 3(a₁ + a₂)t)/dt = 3(a₁ + a₂)

Here you see, the acceleration of particle is 3(a₁ + a₂). So the correct choice is option (d) none.

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Answer 2

Answer:

answer is below

Step-by-step explanation:

v=10+3(a1+a2)t

then a=dv/dt

d(10+3(a1+a2)t)/dt

3(a1+a2)

this is our required answer, acceleration