At time t = 0 a car has a velocity of 16 m/s.It slows down with an acceleration given by a = -0.50t, in m/s² for t in seconds.It stops at t = A)64 s B)32 s C)16 s D)8.0 s E)4.0 s

Question

Quizplus · Accepted Answer

The car stops when its velocity reaches 0. Given the initial velocity $v_0 = 16 \, \text{m/s}$ and the acceleration $a = -0.50t$, we can use the equation $v = v_0 + at$ to find when the velocity is 0. Setting $v = 0$, we get $0 = 16 - 0.50t^2$. Solving for $t$, we find $t = 8.0 \, \text{s}$.

At Time T = 0 a Car Has a Velocity