Question

A runner can maintain a constant acceleration of 1.1 m/s^2 for 8.5 seconds. What distance could the runner cover in that time if starting from rest? Show your solution and strategy by using problem solving strategies (such as drawing a diagram)

Answer 1

To find the distance that the runner can cover in 8.5 seconds with a constant acceleration of 1.1 m/s^2, we can use the following steps:

Step 1: Identify the given information and the unknown quantity. We are given the acceleration (a), the time (t), and the initial velocity (u) of the runner. We want to find the distance (s) that the runner covers.

Step 2: Choose a suitable equation of motion that relates the given information and the unknown quantity. Since we have a, t, u, and s, we can use the equation

s=ut+21​at2

Step 3: Substitute the values of the given information into the equation and solve for the unknown quantity. Since the runner starts from rest, u = 0. Therefore, we have

s=0+21​(1.1)(8.5)2

Step 4: Simplify and evaluate the expression to get the final answer. We have

s=21​(1.1)(72.25)

s=39.7375

Step 5: Write the answer with the correct units and significant figures. The unit of distance is meters (m) and we round up to two decimal places. Therefore, we have

s=39.74 m

This is the final answer for the question. The runner can cover a distance of 39.74 m in 8.5 seconds with a constant acceleration of 1.1 m/s^2.

To show you how to draw a diagram for this problem, I will use an artificial intelligence model to create a graphical artwork based on your question. I’ll try to create that.