To find the initial velocity of the car, we can use the following formula of motion:
v=u+atv = u + atv=u+at
where:
- vvv is the final velocity (40 m/s),
- uuu is the initial velocity (what we want to find),
- aaa is the acceleration (8 m/s²), and
- ttt is the time interval (5 seconds).
Plugging in the known values into the formula, we get:
40=u+(8×5)40 = u + (8 imes 5)40=u+(8×5)
Simplifying the equation:
40=u+4040 = u + 4040=u+40
Subtracting 40 from both sides of the equation:
u=40−40u = 40 - 40u=40−40
Therefore, the initial velocity of the car is u=0u = 0u=0 m/s.