The magnitude of the velocity of a car is given by the equation v=|35t-70| where t represents time in seconds and v represents velocity in meters per second. Algebraically determine when the magnitude of velocity is 17.5 m/s.

Question

The magnitude of the velocity of a car is given by the equation v=|35t-70| where t represents time in seconds and v represents velocity in meters per second. Algebraically determine when the magnitude of velocity is 17.5 m/s.
 Can you show steps and answer? this is part of my review(not for marks) for a midterm and I want to be prepared

oobleck · Answer

|35t-70| = 17.5 35t-70 = ±17.5 35t = 70 ± 17.5 t = 2 ± 1/2