The position of a particle moving along x-axis is given by x=(5t^2 -4t+20)m ,where t is in second. Find the magnitude average velocity between 1 s and 3 s. A)10 m/.s B)16 m/.s C)14 m/.s D)5 m/.s

Nathanial Frost

Nathanial Frost

Answered question

2023-02-24

The position of a particle moving along x-axis is given by x = ( 5 t 2 4 t + 20 ) m , where t is in second. Find the magnitude average velocity between 1 s and 3 s.
A)10 m/.s
B)16 m/.s
C)14 m/.s
D)5 m/.s

Answer & Explanation

Haylie Long

Haylie Long

Beginner2023-02-25Added 7 answers

The right option is B 16 m/.s
We know, x = ( 5 t 2 4 t + 20 ) m
t=1 s; x i n = 5 × ( 1 ) 2 4 × ( 1 ) + 20 = 21 m
t = 3 s ; x i n = 5 × ( 3 ) 2 4 × ( 3 ) + 20 = 53 m
v a v r g = x t
v a v r g = ( 53 21 ) / ( 3 1 ) = 16 m / s

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