An automobile whose speed is increasing at a rate of 0.800 m/s2 travels along a circular road of radius 10.0 m

Question

When the instantaneous speed of the automobile is 6.00 m/s, What is the tangential acceleration component.
Magnitude

Answer 1

The tangential acceleration is .8 m/sec^2. The centripetal acceleration is v/r or 6/10 m/sec^2. The total acceleration is √(at)^2+(ac)^2 = √.8^2+.6^2 = √.64+.36 = √1.00 = 1m/sec^2