Math Problem Statement
Gerak sebuah mahasiswa digambarkan dengan kurva kecepatan seperti di samping.
a) Apakah jenis geraknya?
b) Tuliskanlah persamaan kecepatan dan persamaan gerak.
c) Hitunglah kecepatan dan posisi benda pada 10 sekon.
Solution
From the image you provided, the problem depicts a velocity vs. time graph with the following information:
- The graph shows a linear increase in velocity from at seconds to at .
The questions posed are:
(a) What is the type of motion?
The motion is uniformly accelerated because the velocity increases linearly with time.
(b) Write the velocity equation and the motion equation (position equation).
-
Velocity equation: The slope of the velocity-time graph represents the acceleration, .
The slope
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Math Problem Analysis
Mathematical Concepts
Kinematics
Linear Motion
Uniform Acceleration
Formulas
Velocity equation: v(t) = v_0 + at
Position equation: s(t) = s_0 + v_0t + 0.5at^2
Theorems
Uniformly Accelerated Motion Theorem
Suitable Grade Level
Grades 9-12