Answer:
t = 4 t₁ , We see that time is increased by a factor of 4
Explanation:
For this exercise let's use the concepts of kinematics
v² = v₀² + 2 a d
With the first pad when the package stopped zero speed, let's look for acceleration
0 = v₀² - 2 a₁ d
a₁ = v₀² / 2 d
Let's use the equation to enter time
v = v₀ - a₁ t₁
t₁ = v₀ / a₁
When we replace the pad with another one where the distance is 4d
a = v₀² / 2 (4d)
a = a₁ / 4
We see that the acceleration is 4 times lower.
The equation kinematics
v = v₀ - at
t = v₀ / a
We replace the acceleration
t = v₀ 4/a1
t = t₁ 4
We see that time is increased by a factor of 4
