physics
posted by Jordan .
A car starts from rest on a curve with a radius of 120m and accelerates at 1.0m/s^2. Through what angle will the car have traveled when the magnitude of its total acceleration is 2.0 m/s^2?

Total acceleration consists of two perpendicular components. The centripetal acceleration is V^2/R. The tangential acceration is given to be 1.0 m/s^2.
When the total acceleration is 2.0, the centripetal acceleration is sqrt(2^2  1^2) = sqrt3 = 1.732 m/s^2
Solve V^2/R = 1.732 for V, and then use that V to tell you how long and through what angle it has traveled.
V = sqrt(120*1.732) = 14.4 m/s
It takes 14.4 s to attain this speed at the acceleration rate of 1.0 m/s^2
Now compute the angle it has moved through after 14.4 s. I will leave that step up to you. 
i still havent solved

how would u solve this

A car starts from rest on a curve with a radius of 110 m and accelerates at 1.2 m/s^2 .
1) Through what angle will the car have traveled when the magnitude of its total acceleration is 2.1 m/s^2 ?
Please show steps. thank you 
It's .864 rads
Respond to this Question
Similar Questions

physics
A car starts from rest on a curve with a radius of 130 m and accelerates at 1.80 m/s^2. How many revolutions will the car have gone through when the magnitude of its total acceleration is 3.50 m/s^2? 
Physics
A car starts from rest on a curve with a radius of 130 m and accelerates at 0.600 m/s^2. How many revolutions will the car have gone through when the magnitude of its total acceleration is 2.90 m/s^2? 
Physics
A car starts from rest on a curve with a radius of 130m and accelerates at 1.1m/s^2 .Through what angle will the car have traveled when the magnitude of its total acceleration is 2.7m/s^2 ? 
Rotational Motion Physics Problem
A car starts from rest on a curve with a radius of 150 and accelerates at 1.2.Through what angle will the car have traveled when the magnitude of its total acceleration is 2.2 ? 
Physics
A car starts from rest on a curve with a radius of 110m and accelerates at 1.2m/s^2. Through what angle will the car have traveled when the magnitude of its total acceleration is 2.1 m/s^2? 
Physics
A car starts from rest on a curve with a radius of 150m and tangential acceleration of 1.5m/s2 . Through what angle will the car have traveled when the magnitude of its total acceleration is 2.6m/s2 ? 
physic
A car starts from rest on a curve with a radius of 150m and tangential acceleration of 1.0m/s2 . Through what angle will the car have traveled when the magnitude of its total acceleration is 3.0m/s2 ? 
physic
A car starts from rest on a curve with a radius of 150m and tangential acceleration of 1.0m/s2 . Through what angle will the car have traveled when the magnitude of its total acceleration is 3.0m/s2 ? 
Physics
A car starts from rest on a curve with a radius of 140 m and tangential acceleration of 1.2 m/s^2. Through what angle will the car have traveled when the magnitude of its total acceleration is 2.3 m/s^2? 
Physics
A car starts from rest on a curve with a radius of 150 m and tangential acceleration of 1.5 m/s2 Through what angle will the car have traveled when the magnitude of its total acceleration is 3.0 m/s2 ?