Final answer:
The initial speed of the car was 60 m/s, found by rearranging and substituting values into the kinematic equation for uniformly accelerated linear motion.
Step-by-step explanation:
The initial speed of a car can be determined using the equation of motion that relates initial velocity, acceleration, and time to final velocity. The final velocity (v) is given as 40 m/s, the acceleration (a) is -4 m/s2 indicating deceleration, and the time (t) is 5 seconds. Using the formula v = u + at, where u is the initial velocity, we can rearrange the equation to solve for u: u = v - at.
Plugging in the known values, we get:
u = 40 m/s - (-4 m/s2 × 5 s) = 60 m/s.
Therefore, the initial speed of the car was 60 m/s.