Let's Solve the Kinematic Equations of Motion Puzzle!

How can we calculate the time spent and distance traveled between points A and B in this journey?

With the given data of traveling a distance of 5.2 km between points A and D at different speeds, how do we determine the time spent (t) and distance covered (s) between points A and B?

Solution: Time and Distance Calculation

Let's break down the information provided to solve this problem effectively:

Distance from A to D = 5.2 km

Speed from A to B = 71 km/h

Speed from C to D = 96 km/h

Time spent braking between B and C = 8.2 seconds

Uniform deceleration during braking

Step-by-Step Calculation

Here's how we can determine the time spent (t) and distance covered (s) between points A and B:

First, we find the time spent from A to B (t) using the formula Distance = Speed × Time:

s = 71t

Then, we find the time spent from C to D (t) using the equation 5.2 - s = 96t.

Next, we calculate the distance s using the equation s = 71t.

By substituting the values, we find that t is approximately 0.0311 hours (or 1.87 minutes) and the distance s is approximately 2.204 km.

Therefore, the time spent from A to B (t) is around 1.87 minutes, and the distance between A and B (s) is about 2.204 km.