Question
Download Solution PDFAn object starts from rest at x = 0 m and moves with a constant acceleration of 1.6 m/s2 along the x-axis. During its journey from x = 12.8 m to x = 20.0 m, its average velocity will be __________.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Equation of motion:
- Equations of motion of kinematics describe the basic concept of the motion of an object such as the position, velocity, or acceleration of an object at various times.
- These three equations of motion govern the motion of an object in 1D, 2D, and 3D.
- Three equations: v = u + at, s = ut + 0.5 at2, 2as = v2 - u2
- Here, u = initial velocity, v = final velocity, s = displacement, t = time
- Under the influence of gravity, acceleration a is replaced by acceleration due to gravity g.
Calculation:
Given,
Initial velocity, u = 0 m/s, Acceleration, a = 1.6 m/s2
From the second equation of motion,
s = ut +0.5 at2
12.8 = 0.8 t12
t1 = 4 sec.
For s = 20
20 = 0 × t2 + 0.5 × 1.6 t22
t2 = 5 sec.
The average velocity can be calculated as,
Hence, What is its average velocity 7.2m/s.
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