Jill's Sprint After Shopping Cart: Physics Kinematics

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Jill is sprinting after a shopping cart that rolls downhill from a 3-degree incline. The cart has frictionless wheels and accelerates due to gravity, while Jill has a maximum acceleration of 2.0 m/s². Participants discuss using kinematics equations to determine the distance the cart rolls before Jill catches it, emphasizing the importance of time as a parameter. The significance of the 3-degree angle is clarified, as it relates to the cart's acceleration down the slope. The conversation concludes with a focus on solving the problem using appropriate kinematic equations.
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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?
 
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yes time t will be perameter.
 
mukundpa said:
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 :confused:

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

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