Kinematics Problem involving variable acceleration

[zewei1988]

Homework Statement

What if the acceleration is not constant? A particle starts from the origin with velocity 8 i m/s at t = 0 and moves in the xy plane with a varying acceleration given by vector a = (7√t j) m/s2, where t is in s. Answer the following using t as t as necessary.

Determine the vector velocity of the particle as a function of time.

Homework Equations

The Attempt at a Solution

I could find the x-component of the velocity vector, but integrating 8 with respect to time. However, when my answer is wrong when i integrated 7(t^0.5) in an attempt to find the velocity of the particle as a function of time.

4.67t^(1.5) is my answer.

 

[tiny-tim]

Welcome to PF!

Hi zewei1988! Welcome to PF!

(try using the X² tag just above the Reply box )

I could find the x-component of the velocity vector, but integrating 8 with respect to time.

What do you mean? The 8i velocity component is constant.

 

[zewei1988]

I'm sorry, I din integrate it with time. I mixed up my solutions for the other part of the question. I simply put 8 as the velocity vector along the x-axis.

 

[tiny-tim]

I'm sorry, I din integrate it with time. I mixed up my solutions for the other part of the question. I simply put 8 as the velocity vector along the x-axis.

So your answer is 8i + 4.67t^3/2j ?

That looks ok to me. ​