Question

For the equation V = 10 + 4t, what is the acceleration of the body?For the equation V = 10 + 4t, what is the acceleration of the body?

Answer 1

Answer:

Step-by-step explanation:

acceleration is a=dv/dt  differentiating the velocity you will get the acceleration

given V=10+4t

a=dv/dt=0+4=4

∴acceleration for the velocity V=10+4t is 4

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Answer 2

Concept

We know that the relationship between the displacement and velocity is given as,

v=dx/dt, where t is the time and x is the function of t. Similarly the relationship between the velocity will be obtained by differentiating the above equation once again with respect to t, we have

a=dv/dt

Hence we will use the given relation between the velocity and time to calculate the value of the acceleration.

Given

The given relation is v=10+4t

Find

We have to calculate the value of acceleration.

Solution

Differentiating with respect to t to obtain the value of a, we have

a=dv/dt

=d/dt(10+4t)

=0+4

=4 m/s^2

Since the differentiation of the constant is zero and the differentiation of t is 1.

Hence the value of the acceleration is 4.

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