00:01
Hi, in the given question we have given the displacement of this stone s of t is equal to minus 16 t squared plus 64.
00:11
We have to find a velocity of this tone.
00:14
We know that velocity is equal to displacement upon time.
00:20
So differentiating the equation 1, we get minus 16 into 2 t plus 0.
00:26
That is, we know that the derivative of x to the power n with respect to x is equal to n x to the power n minus 1.
00:39
Therefore, we have the velocity of stone is equal to minus 32 t feet per second.
00:49
Next we have to find the speed of stone.
00:52
We know that speed is equal to magnitude.
00:57
Of velocity we have the velocity is equal to minus 32 t therefore we have the speed of given stone is equal to 32 feet per second next we have given the displacement of the stone is s of t is equal to minus 60 square plus 54 for this also we have to find a velocity of stone.
01:32
Velocity is equal to displacement upon time.
01:36
Therefore we will differentiate the given displacement.
01:39
Therefore we have minus 6 into 2t plus 0...