Question

MEDAL!An object's motion is described by the equation d = 4 sin(pi t ) . The displacement, d , is measured in meters. The time, t , is measured in seconds. Answer the following questions:
(a) What is the object's position at t = 0 ?
(b) What is the object's maximum displacement from its resting position?
(c) How much time is required for one oscillation?
(d) What is the frequency?

Answer 1

@ikram002p

Answer 2

this is the last one on my study guide :)

Answer 3

okeyy lets do it !

Answer 4

:))))

Answer 5

(a) What is the object's position at t = 0 ?
so u wanna find d at 0
d = 4 sin(pi t )
find d(0) do u know how to do that ?

Answer 6

A) is the objects position 0

Answer 7

yess ur correct !

Answer 8

nw do u know how to find maximum displacement ?

Answer 9

isn't it the total distance the object traveled for this

Answer 10

yess it is , so do u know how to find it ?

Answer 11

not here I don't, so I could use some help

Answer 12

ok do u know how to find d' ?

Answer 13

only if I know t

Answer 14

diffrentiate d ?

Answer 15

no u dnt need to know t , u wanna find t

Answer 16

then I don't know how to find d

Answer 17

maximum displacment acures when d'=0

Answer 18

ok ok ill show u

Answer 19

ok

Answer 20

d = 4 sin(pi t )
d'=4 cos (pi t)
do u know this ?

Answer 21

I think. do i do 0=4cos(pi t)

Answer 22

yess ur right !
and find t :)

Answer 23

t=1/2? or 3pi/2

Answer 24

yess ur correct !
so to chose which one is correct we see which of them gives the hight distance
in d = 4 sin(pi t )

Answer 25

so 1/2 is the maximum displacement

Answer 26

yess ur correct cuz 3pi/2 gives negative answer

Answer 27

but not 1/2 is the displacment
1/2 is the time at the max displacment
d(1/2) is the max
d(1/2)=4 sin (pi /2) =4 ( so 4 is the max displacment)

Answer 28

oh ok