(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A car moving at a speed of 30 m/s enters a curve that describes a quarter turn of radius 114 m. The driver gently applies the brakes, giving a constant tangential deceleration of magnitude 1.2 m/s2.

a) Just before emerging from the turn, what is the magnitude of the car's acceleration?

b) At that same moment, what is the angle q between the velocity vector and the acceleration vector? Please enter your answer in degrees.

2. Relevant equations

Kinematics

i tried: a=(v(squared)/R)

or maybe another sort of similar formula like a=omega(squared)*R

3. The attempt at a solution

a) I used a=(v(squared)/R). I tried finding the velocity at the end of the turn, I tried using 37.01661958 (the new vector formed by 30m/s and final v (21.68479018). I used 114m for the radius. There's something that i dont understand about these circular formulas and how I am supposed to solve them.

b) I believe I am supposed to use my new vector (37.01661958) in relation to the acceleration (which i believe is pointing at the center of the circle), but I can't remember how to calculate that angle.

Any help is very much appreciated!

thanks,

SFS

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Centripedetal Acceleration with a decelerating car.

**Physics Forums | Science Articles, Homework Help, Discussion**