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Mathematics 11 Online
OpenStudy (anonymous):

Instantaneous speed can be negative?

OpenStudy (anonymous):

Yes, it just means that the object is slowing down.

OpenStudy (anonymous):

I got -96 as answer it can be right?

OpenStudy (anonymous):

what is the question.

OpenStudy (anonymous):

In physics it is shown that the height of a ball thrown straight up with an initial speed of 96 ft/sec from ground level is S(t)=-16t^2+96t where t is the elapsed time that the ball in the air.

OpenStudy (anonymous):

g.what is the instantaneous speed of the ball when it strikes the ground

OpenStudy (anonymous):

I got -96.Is it right?

OpenStudy (anonymous):

what t value did u get?

OpenStudy (anonymous):

6

OpenStudy (anonymous):

t=6

OpenStudy (anonymous):

your t is wrong

OpenStudy (anonymous):

the answer should be -19

OpenStudy (anonymous):

-16t^2+96t=0 16t(t-6)=0 16t=0 t=0 t-6=0 t=6 t=0,6

OpenStudy (anonymous):

oh sorry, i read 19 instead of 96

OpenStudy (anonymous):

-96 is correct.

OpenStudy (anonymous):

-32t+96 where t=6

OpenStudy (anonymous):

so it can be negative?

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

thanks for the help

OpenStudy (anonymous):

np

OpenStudy (anonymous):

anything else?

OpenStudy (anonymous):

I have a doubt

OpenStudy (anonymous):

acceleration can be negative?

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

thanks for the help

OpenStudy (anonymous):

np

OpenStudy (freckles):

speed is |velocity|

OpenStudy (freckles):

you found velocity

OpenStudy (freckles):

just one step further to find speed

OpenStudy (freckles):

in other words speed is always positive or ( I guess you can say ) zero (if an object is going anywhere)

OpenStudy (mrnood):

@arjund12 -ve speed does NOT mean that he object is slowing down (you are confusing it with acceleration). @sammy12 Strictly speaking SPEED cannot be negative, because it is a scalar property. Velocity is a property which is speed AND direction. Therefore, once you have defined which way is 'positive' for your distance measurement then velocity is also defined as positive in the same direction. In your case you are strictly talking about velocity (since it changes from upwards to downwards motion) and hence it can be -ve (In your case the height (i.e. distance) is measured as positive in an upwards direction, so if the ball is travelling downwards then its velocity is negative.)

OpenStudy (freckles):

oops just notice I meant to say nowhere above when talking about speed being zero :p but I guess everyone figured that

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