A car is stopped at a red traffic light. When the light turns to green, the car has a constant acceleration and crosses the 9.10-m intersection in 2.86 s. What is the magnitude of the car's acceleration? A)1.77 m/s² B)2.98 m/s² C)2.23 m/s² D)7.36 m/s² E)9.80 m/s²

Question

Quizplus · Accepted Answer

Using the kinematic equation x = ½ at² + vt, where x is the displacement, a is the acceleration, t is the time, and v is the initial velocity (which is zero in this case), we have:
9.10 m = ½ a (2.86 s)²
Solving for a, we get:
a = (2 x 9.10 m) / (2.86 s)² ≈ 2.23 m/s²
Therefore, the magnitude of the car's acceleration is 2.23 m/s².

A Car Is Stopped at a Red Traffic Light