In 2.0 s,a particle moving with constant acceleration along the x axis goes from x = 10 m to x = 50 m.The velocity at the end of this time interval is 10 m/s.What is the acceleration of the particle? A)+15 m/s² B)+20 m/s² C)-20 m/s² D)-10 m/s² E)-15 m/s²

Question

Quizplus · Accepted Answer

We can use the equation of motion:

x = x0 + v0t + 1/2at^2

where x0 = 10 m, x = 50 m, v0 = 0 m/s (since the particle starts from rest), t = 2 s, and we need to solve for a.

Substituting these values, we get:

50 m = 10 m + 0 m/s * 2 s + 1/2 * a * (2 s)^2

Simplifying and solving for a, we get:

a = (50 m - 10 m)/2 s^2 = 20 m/s^2

Therefore, the correct choice is D, with an acceleration of 10 m/s^2.

In 20 S,a Particle Moving with Constant Acceleration Along the X