Can someone check this to see if it is correct?
The position function for an object is given as s(t) = 2(t^2 - 1)^3
a) Find the velocity function:
b) Find the acceleration function
c) Find the average velocity on [1,3]
d) Find the average acceleration on [1,3]
a) v(t) = 12t(t^2-1)^3
b) a(t) = 48t^2(t^2-1)
c) [ 2(3^2-1)^3 - 2(1^2-1)^3 ] / (3 - 1) = 512m/s
d) [ 48(3)^2(3^2 - 1) - 48(1)^2 (1^2 - 1 ) ] / ( 3 - 1 ) = 110592m/s
Did I do D incorrectly? Any help is appreciated. Thanks
The position function for an object is given as s(t) = 2(t^2 - 1)^3
a) Find the velocity function:
b) Find the acceleration function
c) Find the average velocity on [1,3]
d) Find the average acceleration on [1,3]
a) v(t) = 12t(t^2-1)^3
b) a(t) = 48t^2(t^2-1)
c) [ 2(3^2-1)^3 - 2(1^2-1)^3 ] / (3 - 1) = 512m/s
d) [ 48(3)^2(3^2 - 1) - 48(1)^2 (1^2 - 1 ) ] / ( 3 - 1 ) = 110592m/s
Did I do D incorrectly? Any help is appreciated. Thanks
