An object has the following position vector: r(t) = (3m – (14 m/s3)t3)i + ((15 m/s)t + (0.5 m/s2)t2)j + (–2.4 m + (0.9 m/s)t) k.
a) What is the velocity vector of the object?
b) What is the acceleration vector of the object?
c) At t = 7 s, what is the object’s distance from the origin?
d) At t = 4 s, what is the x-component of the object’s velocity?
e) At t = 2.5 s, what is the object’s speed?
f) At t = 5.5 s, what is the object’s acceleration?
Frequently Asked Questions
What scientific concept do you need to know in order to solve this problem?
Our tutors have indicated that to solve this problem you will need to apply the Motion in 2D & 3D With Calc concept. If you need more Motion in 2D & 3D With Calc practice, you can also practice Motion in 2D & 3D With Calc practice problems.