Answer:
h = 1.8 m
Explanation:
The initial velocity of the glove, u =- 6 m/s
We need to find the maximum height of the glove. Let it is equal to h. Using equation of kinematics. At the maximum height v = 0
, h is the maximum height and a = -g

Hence, it will go up to a height of 1.8 m.
Answer:
The level of the root beer is dropping at a rate of 0.08603 cm/s.
Explanation:
The volume of the cone is :

Where, V is the volume of the cone
r is the radius of the cone
h is the height of the cone
The ratio of the radius and the height remains constant in overall the cone.
Thus, given that, r = d / 2 = 10 / 2 cm = 5 cm
h = 13 cm
r / h = 5 / 13
r = {5 / 13} h


Also differentiating the expression of volume w.r.t. time as:

Given:
= -4 cm³/sec (negative sign to show leaving)
h = 10 cm
So,



<u>The level of the root beer is dropping at a rate of 0.08603 cm/s.</u>
Answer:
The value of tangential acceleration
40 
The value of radial acceleration 
Explanation:
Angular acceleration = 50 
Radius of the disk = 0.8 m
Angular velocity = 10 
We know that tangential acceleration is given by the formula

Where r = radius of the disk
= angular acceleration
⇒
0.8 × 50
⇒
40 
This is the value of tangential acceleration.
Radial acceleration is given by

Where V = velocity of the disk = r 
⇒ V = 0.8 × 10
⇒ V = 8 
Radial acceleration


This is the value of radial acceleration.
Should be an air tight seal