Heya!!!
Answer to your question:
All you need to do is to compare both the equations...
On comparing, you'll get
d=6m
v=6.5m/s
a=-9.81m/s^2
we know,
6= 6.5t -0.5 (9.81)t^2
6=6.5t-4.905 t^2
4.905 t^2-6.5t +6=0
now you can use quadratic eq. to solve this.
Hope it helps ^_^
Answer:
Explanation:
Given
at certain point displacement and velocity is 0.345 m and 0.54 m/s
Therefore Potential and Kinetic Energy associated is



Kinetic Energy 

Total Energy 
Total Energy is conserved hence at maximum displacement all energy will be Potential energy

where A=maximum displacement



Maximum speed occurs at equilibrium Position where Potential Energy is zero
thus 


(c)When block is at 0.2 m from Equilibrium speed then its Potential Energy is






The Belt A has an efficiency of 50% while the Belt B has an efficiency of 25%
Why?
To calculate the efficiency of the belts, we need to consider that both conveyor belts are identical looking and both weights are equal (10 Newtons).
We need to remember that the formula to calculate work is equal to:

Also,

We know the following:
For belt A,

For belt B,

Now, to calculate the efficiencty of the belts, we can use the following formula:

We know that for both belts, the starting work was 20 J.
So, calculating we have:


Hence, we can see that The Belt A has an efficiency of 50% while The Belt B has an efficiency of 25%
Have a nice day!
Answer:
(a) 498.4 Hz
(b) 442 Hz
Solution:
As per the question:
Length of the wire, L = 1.80 m
Weight of the bar, W = 531 N
The position of the copper wire from the left to the right hand end, x = 0.40 m
Length of each wire, l = 0.600 m
Radius of the circular cross-section, R = 0.250 mm = 
Now,
Applying the equilibrium condition at the left end for torque:



The weight of the wire balances the tension in both the wires collectively:



Now,
The fundamental frequency is given by:

where

(a) For the fundamental frequency of Aluminium:


where


(b) For the fundamental frequency of Copper:


where


Whenever light goes from transparent to another medium or from rarer to denser medium or vice versa, it's speed changes and hence light bends.