Answer:

Explanation:
The speed of the actor before the collision is found by means of the Principle of Energy Conservation:



The speed after the inelastic collision is obtained by using the Principle of Momentum Conservation:


Lastly, the maximum height is determined by using the Principle of Energy Conservation again:



50m/s
I divided the 200m by 4s (so 200/4) to get 50m per second
Answer:
The maximum range
m
Explanation:
Given,
The initial velocity of the car, u = 30 m/s
The height of the cliff, h = 50 m
Let the car drives off the cliff with a horizontal velocity of 30 m/s.
The formula for a projectile that is projected from a height h from the ground is given by the relation
m
Where,
g - acceleration due to gravity
Substituting the values in the above equation
= 132.72 m
Hence, the car lands at a distance,
m
Answer:
The amount of potential energy that was initially stored in the spring is 88.8 J.
Explanation:
Given that,
Mass of block = 1.60 kg
Angle = 30.0°
Distance = 6.55 m
Speed = 7.50 m/s
Coefficient of kinetic friction = 0.50
We need to calculate the amount of potential energy
Using formula of conservation of energy between point A and B



Put the value into the formula


Hence, The amount of potential energy that was initially stored in the spring is 88.8 J.