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M2 Variable Acceleration - Help

Hey
I'm stuck on part b)

Here is the working out I've done for it
5t^2 - t^4 > 0
t^2(5 - t^2) > 0
t^2 < 5
t < sqrt (5)

But I can't seem to find the actual time required for the maximum height any hints would be appreciated.
example 5 variable acceleration.png9.8KB
Reply 1
Avatar for Hodor
Hodor
3
Original post by Shadez
Hey
I'm stuck on part b)

Here is the working out I've done for it
5t^2 - t^4 > 0
t^2(5 - t^2) > 0
t^2 < 5
t < sqrt (5)

But I can't seem to find the actual time required for the maximum height any hints would be appreciated.


You need to maximise f(t) = 5t^2 - t^4.

Differentiation will work, or just complete the square.
Original post by Shadez
Hey
I'm stuck on part b)

Here is the working out I've done for it
5t^2 - t^4 > 0
t^2(5 - t^2) > 0
t^2 < 5
t < sqrt (5)

But I can't seem to find the actual time required for the maximum height any hints would be appreciated.


I don't like the term height in this question

But I would say you are trying to maximise the j component since that is vertical ... Have you differentiated that section?
Reply 3
Avatar for Shadez
Shadez
OP
10
Original post by TenOfThem
I don't like the term height in this question

But I would say you are trying to maximise the j component since that is vertical ... Have you differentiated that section?


Original post by Hodor
You need to maximise f(t) = 5t^2 - t^4.

Differentiation will work, or just complete the square.


Ah ok thanks guys :biggrin:

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