Curvilinear Motion of a Car

Curvilinear Motion of a Car#

../../../../../_images/CurvCar.png

A car travels down a hill which has a parabola of \(y = {{ params.m }}x^2\). At point A, the speed is \(v = {{ params.v }} \ \rm{m/s}\) and it is increasing at the rate of \(\dot v = {{ params.vdot }} \ \rm{m/s^2}\). The height relative to the ground to point A is \(h = {{ params.h }} \ \rm{m}\) and the distance from the origin to point A is \(d = {{ params.d }} \ \rm{m}\). What is the magnitude of acceleration at point A?

Part 1#

Determine the radius of curveture of the hill at point A.

Answer Section#

Please enter in a numeric value in \(\rm{m}\).

Part 2#

Determine the magnitude of acceleration of the car.

Answer Section#

Please enter in a numeric value in \(\rm{m/s^2}\).

Attribution#

Problem is licensed under the CC-BY-NC-SA 4.0 license.
The Creative Commons 4.0 license requiring attribution-BY, non-commercial-NC, and share-alike-SA license.