Answer:
5.266 secs
Step-by-step explanation:
Lets assume ; p(t) = t^-3 + 2^2 + ( 3/2 ) is the particle position along x-axis
time interval [ 0, 4 ]
Average velocity = Displacement / time
= p( b ) - p( a ) / b - a -------- ( 1 )
where a = 0 , b = 4 ( time intervals )
Back to equation 1
Average velocity = [ ( 4^-3 + 4 + (3/2) ) - ( 0 + 4 + (3/2) ) ] / 4
= 3.9 * 10^-3 ----- ( 2 )
Instantaneous velocity = d/dx p(t)
= - 3/t^4 ------ ( 3 )
To determine the time that the instanteous velocity = average velocity
equate equations (2) and (3)
3.9*10^-3 = - 3 / t^4
t^4 = - 3 / ( 3.9 * 10^-3 ) = - 769.231
hence t = ![\sqrt[4]{- 769.231 }](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B-%20769.231%20%7D)
= 5.266 secs
we ignore the negative sign because time can not be in the negative
Answer:
1. 30km in 24 mins
Step-by-step explanation:
=1.25km/min
1.25×24=30km
Answer:
Step-by-step explanation:
The parent function denotes the simplest function (free from any horizontal/vertical stretch/compression) that represents a family of functions. In this case the term 1/4 indicates a horizontal stretch and should be removed to find the parent function of . From here we're in simplest form, since 
or others represent a completely different family of functions and cannot be obtained from horizontal/vertical stretches/compressions.
Answer: Greater than 10 N
Step-by-step explanation:
Given
Gravity force on metal is 10 N
But the metal piece is rising i.e. there must be an upward force greater than 10 N
Suppose the force is F
So, we can write
Any force greater than 10 N is sufficient for the metal to move upwards
The greater the amount of force faster will be the movement
