Calculate displacement from velocity-time graph

PhysicsKinematicsEasy

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3) A velocity-time graph is provided. Find the displacement $S$ represented by the area under the curve.

This question includes visual content: A hand-drawn velocity-time graph on grid paper. The vertical axis is labeled $v_x$ and the horizontal axis is labeled $t$. A line starts at $v_x = 6$ on the vertical axis and slopes downward to a point where $t = 5$ on the horizontal axis. The region under this line is enclosed by the axes and vertical lines at $t=0$ and $t=5$, forming a trapezoid. The text '3)' precedes the graph, and 'S =' is written to the right.

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1
Step 1

Merhaba Valeh, bu hız-zaman grafiğine birlikte bakalım ve yer değiştirmeyi hesaplayalım.

Hız-Zaman Grafiğinde Yer Değiştirme

2
Step 2

Hız-zaman grafiğinin altında kalan alan bize yer değiştirmeyi, yani aldığı yolu verir. Bu grafik bir yamuk şeklindedir.

65vt
3
Step 3

Grafikteki yamuğun alt tabanı beş birim, üst tabanı altı birim ve yüksekliği beş birimdir. Şekle göre yamuğun sağ tarafındaki hız değeri dört olarak görünüyor.

$$S = \frac{(a+b)}{2} \cdot h$$
$$a = 6, \; b = 4, \; h = 5$$
4
Step 4

Şimdi bu değerleri formülde yerine koyalım. Altı artı dört bölü iki, çarpı beş.

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About This Question

Subject
Physics
Topic
Kinematics
Difficulty
Easy
Question Type
Open Ended

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