Name a, b, and c. Angle swept in time t for circular motion: $$A = 0.5 \alpha t ^ { 2 } + w t$$
A) $a = w , b = 0 , c = 0.5 \alpha$
B) $a = 0 , b = w , c = 0.5 \alpha$
C) $a = 0.5 \alpha , b = 0 , c = w$
D) $a = 0.5 \alpha , b = w , c = 0$
E) $a = w , b = 0.5 \alpha , c = 0$

Question

Quizplus · Accepted Answer

Angle swept in time t is given by the formula:
$$A = \frac{1}{2}\alpha t^2 + wt$$
where 
$$\alpha$$ = angular acceleration
$$w$$ = angular velocity
$$t$$ = time
Comparing this with the standard form of a quadratic equation, $$ax^2 + bx + c$$, we have
$$a = \frac{1}{2}\alpha$$
$$b = w$$
$$c = 0$$
Therefore, the correct option is D.

Name A, B, and C A=0.5αt2+wtA = 0.5 \alpha t ^ { 2 } + w tA=0.5αt2+wt

Name A, B, and C $A = 0.5 \alpha t ^ { 2 } + w t$