00:01
Hello, in the question it is given, one body oscillates with simple harmonic motion according to the equation, that is displacement is given, x is equal to 5 cause 2 pi into t plus pi by 4.
00:16
So this body oscillates according to this equation.
00:20
Here, at the t is equal to 1 .5 seconds, we need to calculate the displacement of the obfirm.
00:30
Object of the object that is x of t we need to calculate and second one we need to calculate speed that is v of t and third one acceleration of the body acceleration that is a of so we need to calculate x of t and t value is x of 1 .5 that is in the place of t we need to substitute 1 .5 that is 5 2 pi into 1 .5 plus pi by 4 and here 5 cost 2 into 1 .5 is 3.
01:25
So 3 pi plus pi by 4 and here 5 cost 4 that is 4 into 3 is 12x5 plus 5 divided by 4 that is equal to 5 cos 13 5 divided by 4 and that is equal to minus 5 5 into 0 .707 meter and calculating we will get x of t is equal to minus 3 .535 and the unit is meter.
02:06
So this is the displacement of the object at the time t is equal to 1 .5.
02:11
Now we need to calculate the speed...