Question

An object at rest at the origin begins to move in the +x direction with a uniform acceleration of 1 m/s${}^2$ for 4 s and then it continues moving with a uniform velocity of 4 m/s in the same direction. The x - t graph for object's motion will be

• A.
• B.
• C.
• D.

Answer 1

The correct option is B

v=0+1$\times$t

$\frac{dx}{dt}=t$

dx=tdt

$x\propto t^2$ ...........................Parabolic (1)

$\frac{dx}{dt}$=4

dx=4dt

$x\propto t$ ............................ Linear (2)