a car traveling in a straight line has a initial velocity of 12.0 m/s.zoe steps on the gas and accelerates at at rate of 2 m/s2.The care ends up with a final velocity of 20.0 m/s.how long did it take zoe to reach this speed
change in speed = 8 m/s
at 2(m/s)/s, that will take 8/2 = 4 seconds
To find the time it took for Zoe to reach the final velocity, we can use the equation of motion:
v = u + at
where:
- v is the final velocity (20.0 m/s),
- u is the initial velocity (12.0 m/s),
- a is the acceleration (2 m/s²),
- t is the time taken.
Rearranging the equation, we have:
t = (v - u) / a
Substituting the given values, we get:
t = (20.0 - 12.0) / 2
Calculating the equation, we find:
t = 8.0 / 2
t = 4.0 seconds
Therefore, it took Zoe 4.0 seconds to reach the final velocity of 20.0 m/s.