At the edge of the cliff, the speed of the car will have two
components. The x-component, horizontal, is equal to 27 m/s while the
y-component, vertical, is equal to zero. With this, the car is seemingly in
free-fall.
The equation that would allow us to answer the question above is,
d = (V₀)t + 0.5gt²
where d is distance, V₀ is the initial velocity, g is the acceleration
due to gravity and t is the time. Substituting the known values,
73 = (0)(t) + 0.5(9.8
m/s²)(t²)
Vo equals zero because we only
consider the y-component of the vector. Solving for the value of t will give us
an answer of 3.86 s.
Answer: 3.86 seconds
