- #1
JohnnyGui
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Homework Statement
Two vehicles, A and B, are approaching each other. Vehicle A has a constant velocity of ##v_A##. Vehicle B has a constant acceleration ##a## with an initial velocity of ##v_B##. The starting distance at ##t=0## between them is ##D##.
Is there a way to solve at what time ##t## they'd meet?
Homework Equations
##D = v_At + v_Bt + \frac{1}{2} \cdot a \cdot t^2##
The Attempt at a Solution
I deduced the equation above but I can't find a way to solve for t. Simplifying gives:
##\frac{D}{t} = v_A + v_B + \frac{1}{2} \cdot a \cdot t##
Is there a way to solve for t without plotting these two equations?