Question

1. A ball rolls with a constant acceleration of 2.5 m/s^2 for 5.0 s with an initial velocity of 5.0 m/s. Calculate the ball’s distance from the starting point at 1.0 s intervals. Make a position-time graph for the object’s motion. In your response, show what you are given, the equation that you used, any algebra/work required, a table of data, and your graph.
Does anybody know how to solve this question? i need help understanding how to solve it.

Answer 1

Explanation:

Given:

v₀ = 5.0 m/s

a = 2.5 m/s²

Equation:

Δx = v₀ t + ½ at²

Δx = (5.0 m/s) t + ½ (2.5 m/s²) t²

Δx = 5t + 1.25t²

Make a table of data using 1.0 increments for t.

$\left[\begin{array}{cc}t&\Delta x\\0&0\\1.0&6.25\\2.0&15.00\\3.0&26.25\\4.0&40.00\\5.0&56.25\end{array}\right]$

Graph the data.  See included image.