Question

20) If the car is having a displace from point 1
o point 2 in t sec which is given by equation
(x) = x2+x+1. Then?
Car is moving with constant acceleration
Car is moving with constant velocity
Neither acceleration nor velocity is constant
Both acceleration and velocity is constant​

Answer 1

Step-by-step explanation:

If the car is having a displace from point 1 to point 2 in t sec which is given by equation y(x) = x2 + x + 1. Then :

Answer 2

Answer:

The car is moving with constant acceleration.

Step-by-step explanation:

The distance of the car is given by f(x) = x² + x + 1

We know that Velocity = $\frac{Distance}{Time}$

=> Differentiating the equation with respect to x

=> Velocity = 2x + 1 + 0

                   = 2x + 1

We know that Acceleration = $\frac{Velocity}{Time}$

Differentiating again with respect to x

=> Acceleration = 2 + 0

                   = 2

From above, it is clear that velocity depends on 'x', therefore, it is not constant.

Whereas, acceleration is independent of 'x' 2, therefore, it is constant

Therefore, the car is moving with constant acceleration.