Particle In Motion

Classical Mechanics Level 2

The position of a particle moving along the x-axis is given in c m cm by: x = 9.75 + 1.50 t 3 x=9.75+1.50t^3 , where t t is in seconds. Calculate the average velocity in c m s − 1 cm s^-1 during the time interval t = 2.0 s t=2.0s to t = 3.0 s t=3.0s


The answer is 28.5.

Samuel Ayinde by samuel ayinde , 24, Nigeria

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2 solutions

Krishna Karthik
Nov 19, 2018

No need of calculus here, only average velocity is used in this problem.

Average velocity= ∆ x ∆ t \frac{∆x}{∆t}

∆t=3s-2s=1 second

∆x= 1.5 ( 3 3 − 2 3 ) 1.5(3^3-2^3)

Average velocity= 28.5 1 = 28.5 m / s \frac{28.5}{1}=28.5m/s

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E Koh
May 1, 2017

Average velocity = T o t a l d i s t a n c e T o t a l t i m e \frac{Total distance }{Total time} = 1.50 ( 3. 0 3 − 2. 0 3 ) 3.0 − 2.0 \frac{1.50(3.0^3 -2.0^3)}{3.0 - 2.0} = 28.5

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