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As an experienced tutor registered on UrbanPro, I understand the importance of clear and concise explanations, especially when it comes to illustrating concepts through graphs. UrbanPro is indeed a fantastic platform for connecting with students and providing top-notch online coaching and tuition services.
Now, let's tackle the problem at hand. We have a ball being dropped from a height of 90 meters, and at each collision with the floor, it loses one-tenth of its speed. To plot the speed-time graph of its motion from t=0t=0 to t=12t=12 seconds, we need to break down the problem step by step.
Initial Conditions: At t=0t=0, the ball is dropped from a height of 90 meters, so its initial speed is zero.
Speed after Each Collision: After each collision with the floor, the ball loses one-tenth of its speed. This means the speed decreases by 10% after each collision.
Time Intervals: We need to calculate the speed at different time intervals until t=12t=12 seconds.
Let's calculate the speed at each time interval:
Once we have calculated the speed at each time interval, we can plot it on a graph with time on the x-axis and speed on the y-axis. This will give us the speed-time graph of the ball's motion.
If you're interested, I can provide the step-by-step calculations and then help you plot the graph. Let me know if you'd like to proceed!
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