? Question 14 (2 points) Retake question
A time-varying force is given in Newtons by:
$F(t) = At$
where t is time. This force acts on a mass m as it slides down a frictionless ramp,
starting from rest at t = 0. It acts parallel to the ramp and points down the ramp. If
you use N2L to get the equation of motion, you find the time-varying acceleration to
be:
$a(t) = g\sin\theta + \frac{A}{m}t$
where $g$, $\theta$, $A$, and $m$ are constants. Which statements are true? Choose all that
apply.
The velocity of the object can be found by $\int \frac{A}{m}t\,dt$
The velocity of the object can be found by $\frac{1}{m}\int F_{net}\,dt$
The velocity of the object can be found by $\int \left(g\sin(\theta) + \frac{A}{m}t\right)\,dt$
The velocity of the object can be found by $v_f = at$
