A body is accelerated continuously. What is the form of the graph?
A.
cubic
B.
inverse
C.
linear
D.
quadratic
The answer is D, quadratic.
what's your answer
Please post your answer, and someone will be glad to check it!
a is time rate of change of velocity
a is constant here
so the slope of x VELOCITY versus time is constant
if the slope of velocity versus time is constant
the displacement curve, X VERSUS t, is quadratic
if you know any calculus
d^2x/dt^2 = a
then
v = dx/dt = a t + constant (strraight line)
then if
dx/dt = v = a t + Vi
then
x = (1/2) a t^2 + Vi t + Xi , parabola, quadratic
Xi is position when t = 0
and
Vi is velocity when t = 0