traveling 7.7 meters per second, decelerate at 1.5 meters per second squared, how long til get back to starting point.
To determine how long it takes for an object to return to its starting point while decelerating at a given rate, we need to find the time it takes for the object to come to a stop.
First, let's determine the time it takes for the object to come to a stop (reach a velocity of 0 m/s) using the formula for deceleration:
Final Velocity (Vf) = Initial Velocity (Vi) + Acceleration (a) * Time (t)
Since the object is coming to a stop, the Final Velocity (Vf) will be 0 m/s. The Initial Velocity (Vi) is given as 7.7 m/s, and the Acceleration (a) is -1.5 m/s² (negative because the object is decelerating).
0 = 7.7 - (1.5 * t)
Simplifying the equation:
1.5 * t = 7.7
Now, divide both sides of the equation by 1.5:
t = 7.7 / 1.5
t ≈ 5.13 seconds
Therefore, it will take approximately 5.13 seconds for the object to come to a stop. And since the object is traveling in a straight line, it will take the same amount of time for it to return to its starting point.