SOLUTION: The displacement (in meters) of a particle moving in a straight line is given by the equation of motion s = 6/t^2, where t is measured in seconds. Find the velocity of the pa

Algebra ->  Test -> SOLUTION: The displacement (in meters) of a particle moving in a straight line is given by the equation of motion s = 6/t^2, where t is measured in seconds. Find the velocity of the pa      Log On


   



Question 988565: The displacement (in meters) of a particle moving in a straight line is given by the equation of motion
s = 6/t^2,
where t is measured in seconds. Find the velocity of the particle at times
t = a, t = 1, t = 2, and t = 3

Answer by Timnewman(323) About Me  (Show Source):
You can put this solution on YOUR website!
Hi dear,
To find the velocity at t=a,t=1,t=2 and t=3,
you need to deferentiate the fuction given.
HERE IS THE WORKING,:
ds%2Fdt=%28-12%2At%29%2Ft%5E4
Hence v=%28-12%2At%29%2Ft%5E4
Now,
when t=a.
v=-12a/a^4
v=-12/a^3
You can find the remaining value of v when t=1,t=2.using the v=%28-12%2At%29%2Ft%5E4
HOPE THIS HELPS?