The position of an object moving along x axis

Asked by admin @ 11/08/2021 in Physics viewed by 326 People

Q. The position of an object moving along x-axis is given by x= a + bt2 where a=8.5m, b=2.5m/s2 and t is measured in seconds. What is its velocity at t=0s and t=2.0s. What is the average velocity b/w t=2.0s and t= 4.0s ?pls reply soon

Answered by admin @ 11/08/2021

X = a + bt^2
v = 2bt

Velocity at t = 0 is 0
Velocity at t = 2s is = 2*2.5*2 = 10 m/s

At t = 2s
x = 8.5 + 2.5*2^2
x = 18.5m

At t = 4s
x = 8.5 + 2.5*4^2
x = 48.5m

Average velocity = (48.5 - 18.5) / 2 = 18m/s

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