Answer:
d = 61.75 m
Explanation:
Given that,
A ball droped from a building.
We need to find how fast is it traveling after falling 3.55 s.
As it is dropped, its initial velocity is equal to 0.
Let d is the distance it covers after falling 3.55 s.
We can use second equation of motion to find d.

Here, u = 0 and a =g

So, it will cover 61.75 m after falling 3.55 seconds.
Answer: 4m/s²
Explanation:
At stop signal car speed iz 0 ; V1=0m/s
After t=5s , car has speed is V2=20m/s
using:
a=(V2-V1)/t
a=(20m/s-0m/s)/5s
a=20m/s/5s
a=4m/s²
Answer:
The angular speed of the sphere at the bottom of the hill is 31.39 rad/s.
Explanation:
It is given that,
Weight of the sphere, W = 240 N
Radius of the sphere, r = 0.2 m
Angle with the horizontal, 
We need to find the angular speed of the sphere at the bottom of the hill if it starts from rest.
As per the law of conservation of energy, the total energy at the top is equal to the energy at the bottom.
Gravitational energy = translational energy + rotational energy
So,

I is the moment of inertia of the sphere, 
Also, 
h is the height of the ramp, 

On solving the above equation we get :



So, the angular speed of the sphere at the bottom of the hill is 31.39 rad/s. Hence, this is the required solution.