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The expression for the motion of an object is given as x (t) = 0.08 t³. The average velocity of the object between t = 3 and t = 5 s is ...
❖ Initial position of object :
➙ x₁ = 0.08 • t₁³
➙ x₁ = 0.08 • (3)³
➙ x₁ = 0.08 • 27
➙ x₁ = 2.16 m
❖ Final position of object :
➙ x₂ = 0.08 • t₂²
➙ x₂ = 0.08 • (5)²
➙ x₂ = 0.08 • 25
➙ x₂ = 10 m
We know that;
Average velocity is defined as the ratio of total displacement to the total time taken.
- It is a vector quantity having both magnitude as well as direction.
- It can be positive, negative or zero.
- SI unit : m/s
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Answer:
x¹ = 0.08 x 27m
x²=0.08 x 125m
average velocity, v =( x²- x¹)/t(f) -t(I)
= (0.08 x 98)/2
=0.04 x 98
=3.92 m/s
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