please help me with this velocity question

May 2010
8
0
Hi

everyone

please help me with this velocity question:
i got clue how to do it?
(Headbang) (Thinking)

here it is:

1. if v=5+24t - 3t^2 , where v m/s is the velocity of the body at a time t seconds.

Determine:
(i) the expression for distance, S, in metres, m.
(ii) how far it moves in the interval t=1 sec to t=5 sec.


thxxxxxxx
(Nod)
 
Jun 2009
806
275
v=5+24t - 3t^2

v = ds/dt =5+24t - 3t^2

So ds = (5+24t - 3t^2)dt

\(\displaystyle s = \int{(5+24t - 3t^2)}dt\)

Find the integration to find the expression for s.
 
May 2010
8
0
how do i do this the integration to find the expression for s plz can you help ?
thxx
 
May 2010
8
0
no not yet! my teacher gives me questions tht i havnt studyed so needed help
 
Jun 2009
806
275


s = 5t + 24t^2/2 - 3t^3/3

For displacement, find s1 and s2 for two time interval and then s = s2 - s1.