The graph generated is a polynomial (i.e. the quadratic equation: ax2+bx+c=0) graph that follows the form:

 

Δd=v1Δt+(½)aΔt2

 

The dependent (y) variable in your graph equation is the displacement (Δd) and the independent (x) variable is the time interval (Δt). Based on this information, what would be the:

1. A) initial velocity of the cart when the software started recording data?
2. B) acceleration of the cart?; 
3. C) displacement of the cart when the software started recording data?

 

 

A cart is given an initial velocity of 5.0 m/s and experiences aconstant acceleration of 2.0 m/s². What is the magnitudeof the cart's displacement during the first 6.0 seconds of itsmotion?

An object moves with constant acceleration 4.00 m/s2 and
over a time interval reaches a final velocity of 12.0 m/s. (a)If
its initial velocity is 6.00 m/s, what is its displacementduring
the time interval? (b) What is the distance it travels during
this interval? (c) If its initial velocity is 26.00 m/s, what isits
displacement during the time interval? (d) What is the total
distance it travels during the interval in part (c) ?

An object moves with constant acceleration 3.25 m/s2 and over atime interval reaches a final velocity of 13.4 m/s.
(a) If its initial velocity is 6.7 m/s, what is its displacementduring the time interval?
(b) What is the distance it travels during this interval?
(c) If its initial velocity is
-6.7m/s, what is its displacement during the time interval?
(d) What is the total distance it travels during the interval inpart (c)?