An object moving on the x axis with a constant acceleration increases its x coordinate by 80 m in a time of 5.0 s and has a velocity of +20 m/s at the end of this time. Determine the acceleration of the object during this motion. A) −1.6 m/s² B) +6.4 m/s² C) +1.6 m/s² D) −2.0 m/s² E) −6.4 m/s²

Question

Quizplus · Accepted Answer

We can use the equations of motion to solve for the acceleration of the object. We know that the displacement (Δx) of the object is 80 m, the initial velocity (v1) is 0 m/s, the final velocity (v2) is +20 m/s, and the time (t) is 5.0 s.

Using the equation:

Δx = (v2 + v1)/2 * t + 1/2 * a * t^2

We can solve for the acceleration (a):

80 = (20 + 0)/2 * 5.0 + 1/2 * a * 5.0^2

a = 1.6 m/s^2

Therefore, the answer is C.

An Object Moving on the X Axis with a Constant