A car changes speed as it turns from traveling due south to heading due east. When exactly halfway around the curve, the cars velocity is 19m/s at 45° south of east. At this moment, the cars total acceleration is 3.0 m/s2 at 20° north of east.
Calculate the radial and tangential components of the cars acceleration, then calculate the radius of the turn
Radial acceleration is v2/R
and tangential/centripetal acceleration is Δ|v|/Δt
The Attempt at a Solution
I can't use either of these formulas to find either acceleration. Radius isn't given to find radial acceleration, and time isn't given to find tangential accel.
So from there I tried using the given total acceleration: 3.0m/s and 20° with
either the sine or cosine laws to find the acceleration components.
I ended up with some numbers that seemed unlikely (I need to figure out how to post formulas better..) so I am doubting that is how to solve the question.
What i do know is that once I find radial acceleration I can use that formula to find the Radius.