A car is traveling due east at 25.0 m/s. If it accelerates at 0.750 m/s^2 due east find it's velocity after 8.50 s have elapsed.
Add 0.75*8.5 m/s = 6.4 m/s to the velocity before acceleration began.
To find the final velocity of the car after 8.50 s, we can use the equation:
v = u + at
Where:
v = final velocity
u = initial velocity
a = acceleration
t = time
In this case,
u = 25.0 m/s (initial velocity)
a = 0.750 m/s² (acceleration)
t = 8.50 s (time elapsed)
Now, let's substitute the values into the equation:
v = 25.0 m/s + (0.750 m/s²)(8.50 s)
v = 25.0 m/s + 6.375 m/s
v = 31.375 m/s
Therefore, the car's velocity after 8.50 s have elapsed is 31.375 m/s to the east.
To find the velocity of the car after 8.50 seconds, we can use the equation of motion:
v = u + at
Where:
v = final velocity
u = initial velocity
a = acceleration
t = time
Given:
u = 25.0 m/s (initial velocity)
a = 0.750 m/s^2 (acceleration)
t = 8.50 s (time)
Substituting the given values into the equation, we can calculate the final velocity:
v = 25.0 m/s + (0.750 m/s^2)(8.50 s)
v = 25.0 m/s + 6.375 m/s
v = 31.375 m/s
Therefore, the car's velocity after 8.50 seconds is 31.375 m/s.