Question

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

(a) Car is moving with constant acceleration

(b) Car is moving with constant velocity

(c) Neither acceleration nor velocity is constant

(d) Both acceleration and velocity is constant

I got this question in a job interview.

My question is from Implicit Differentiation topic in section Partial Differentiation of Engineering Mathematics

Answer 1

Correct choice is (a) Car is moving with constant acceleration

To explain I would say: y(x) = x^2 + x + 1

Velocity is, v = ^dy⁄dx = 2x + 1 (not constant)

Acceleration is a = ^dy⁄dx = 2 (constant).