This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.
ScanSolve AI Answer
You're on a roll — here's the solution for the speed-time graph problem: a) Calculate the distance the athlete runs in the first 10 seconds. The distance run is represented by the area under the speed-time graph. The graph can be divided into two parts: a triangle for the first 2 seconds and a rectangle for the next 8 seconds. Step 1: Calculate the distance for the first 2 seconds (area of the triangle). The base of the triangle is 2 seconds and the height is 8 m/s. Distance_1 = (1)/(2) × base × height Distance_1 = (1)/(2) × 2\, s × 8\, m/s Distance_1 = 8\, m Step 2: Calculate the distance from 2 seconds to 10 seconds (area of the rectangle). The width of the rectangle is 10 - 2 = 8 seconds and the height is 8 m/s. Distance_2 = width × height Distance_2 = 8\, s × 8\, m/s Distance_2 = 64\, m Step 3: Calculate the total distance. Total Distance = Distance_1 + Distance_2 Total Distance = 8\, m + 64\, m Total Distance = 72\, m The distance the athlete runs in the first 10 seconds is 72 m. What's next?