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The velocity time graph below shows the motion of an air plane. Find the displacement of the airplane at St=1sec and at st=2sec V(mis) 30 25- 20- 15- 10- 5+ 2 3 4 5 6 t(s)​

The velocity time graph below shows the motion of an air plane. Find the displacement-example-1
User Flordeliz
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1 Answer

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To find the displacement of the airplane at St=1s and St=2s based on the velocity-time graph, calculate the areas under the segments of the graph within those time intervals.

Step-by-step explanation:

To determine the displacement of the airplane at St=1s and St=2s based on the given velocity-time graph, we need to find the area under the velocity-time graph within those time intervals. Since the graph consists of straight line segments, we can find the area of each segment and sum them up.

For St=1s, the area of the triangle formed by the segment is 0.5 * (20+25) * 1 = 22.5 square units of velocity-time. Since displacement is the area under the velocity-time graph, the displacement at St=1s is also 22.5 units (taking direction into account).

For St=2s, the triangle and trapezoid formed by the segments give us areas of 0.5 * (25+20) * 1 + 0.5 * (20+15) * 1 = 37.5 + 17.5 = 55 square units of velocity-time. Therefore, the displacement at St=2s is 55 units (taking direction into account).

User Wizard Of Kneup
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