Asked by Pedro
The position of a particle moving along the x axis varies in time according to the expression x=4t^2+2 where x is in meters and t is in seconds. Evaluate it's position at the following times
a) Find the displacement from 0s to 3s
b) Find the average velocity from 0s to 3s
c) Find the instantaneous velocity at 0s and at 3s
d)Find the average acceleration from 0s to 3s
e)Find the instantaneous acceleration at 0s and at 3s
a) Find the displacement from 0s to 3s
b) Find the average velocity from 0s to 3s
c) Find the instantaneous velocity at 0s and at 3s
d)Find the average acceleration from 0s to 3s
e)Find the instantaneous acceleration at 0s and at 3s
Answers
Answered by
Henry
a. X1 = 4*0^2 + 2 = 2m. @ t = 0s.
X2 = 4*3^2 + 2 = 38m. @ 3s.
Disp. = X2-X1 = 38 - 2 = 36m.
b. V = 36m/3s. = 12m/s.
c. V(0s) = 0 m/s.
d. a = (12-0)/(3-0) = 4m/s^2.
e. a(0s) = 0m/s^2.
a(3s) = 4m/.s^2.
X2 = 4*3^2 + 2 = 38m. @ 3s.
Disp. = X2-X1 = 38 - 2 = 36m.
b. V = 36m/3s. = 12m/s.
c. V(0s) = 0 m/s.
d. a = (12-0)/(3-0) = 4m/s^2.
e. a(0s) = 0m/s^2.
a(3s) = 4m/.s^2.
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