Jill's Sprint After Shopping Cart: Physics Kinematics

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Homework Help Overview

The problem involves kinematics, specifically the motion of Jill sprinting after a shopping cart that rolls downhill from a hill tilted at 3 degrees. The scenario includes considerations of acceleration and distance traveled by both Jill and the cart.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss using kinematics equations to relate the motion of Jill and the cart, with an emphasis on time as a parameter. Questions arise regarding the appropriate kinematics equations to use and the significance of the hill's angle in relation to the cart's acceleration.

Discussion Status

The discussion includes attempts to clarify the equations needed for the problem and the role of the hill's angle. One participant indicates they have resolved their query, but the overall discussion reflects ongoing exploration of the problem's parameters.

Contextual Notes

There is mention of missing information regarding velocities and the implications of the hill's angle on the cart's acceleration, which remains a point of inquiry among participants.

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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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