Answer:
Yes we can find the initial velocity of car without finding acceleration.
u = 10 m/s.
Explanation:
Given that
s=20 m
Car takes 4 s to come in rest.
We know that when acceleration is constant then we can apply motion equation
----------1
------2
From equation 1 and 2

So we can say that

Given that the velocity of car at final condition will be zero (v=0)


From the above equation we can find the initial velocity of car without finding the acceleration

u = 10 m/s
<h2>Solution :</h2>
Here ,
• Height of sign post = 30 m
• Distance between signpost and truck = 24 m
Let the
• Top of signpost = A
• Bottom of signpost = B
• The end of truck facing sign post be = C
Now as we can clearly imagine that the ladder will act as an hypotenuse to the Triangle ABC .
Where
• AB = Height of signpost = 30 m
• BC = distance between both = 24 m
• AC = Minimum length of ladder
→ AC² = AB² + BC² ( As we can see AB is perpendicular to BC )
→ AC² = (30)² + (24)²
→ AC² = 900 + 576
→ AC² = 1476
→ AC = 38.41875
or AC apx = 38.42
So minimum height of ladder = 38.42
Answer:
The impact force will be same for both the cases.
Explanation:
The rate of change of momentum is known as the Impulse and is given by:

where
I = Impulse


Now,
In first case both the cars are identical and have same velocity and in the second case, the wall is stationary.
Also, in both the cases the car does not bounces off the things it hit.
Thus

Thus
Impact force, 
Therefore, impact force is same for both the cases.