Jill's Sprint After Shopping Cart: Physics Kinematics

[oldunion]

Jill has just gotten out of her car in the grocery store parking lot. The parking lot is on a hill and is tilted 3 degrees. Fifty meters downhill from Jill, a little old lady let's go of a fully loaded shopping cart. The cart, with frictionless wheels, starts to roll straight downhill. Jill immediately starts to sprint after the cart with her top acceleration of 2.0m/s^2

how far has the cart rolled before jill catches it.

i was thinking having a kinematics equation for both, and then solving one of them for a variable that i could substitute into the other equation...yes?

 

[mukundpa]

yes time t will be perameter.

 

[oldunion]

yes time t will be perameter.

which kinematics equation should i use, and will it be the same for both of them? i can't do much without velocities

what is the significance of 3 degrees because they already gave us the acceleration, is this the accel of the cart?

 

[oldunion]

solved. thanks