A car going at 24 ft/s decelerates at a constant 4ft/s^2 to come to a stop. a)...

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Physics

A car going at 24 ft/s decelerates at a constant 4ft/s^2 to cometo a stop.

a) Fill in the following table showing the velocity of the carevery second. Fill in a zero velocity for any time after that atwhich the car comes to a rest.

t =01234567
v =242016128400

b) When does the car come to a stop?

at t = ___6___

Using your table, find left and right sums which estimate thetotal distance traveled before the car comes to rest. Which is anoverestimate, and which is an underestimate?

The __right sum__ is an underestimate, and is = __60__

The __left sum__ is an overestimate, and is = __84__

c) On a sheet of paper, sketch a graph of velocity against time.On the graph, show an area representing the distance traveledbefore the car comes to rest. Use the graph to calculate thisdistance.

distance = ___?___

d) Now find a formula for the velocity of the car as a functionof time:

velocity = ___?___

and then find the total distance traveled byantidifferentiation.

distance = ___?___

Answer & Explanation Solved by verified expert
3.7 Ratings (659 Votes)
c the graph will looks likeFrom the velocitytime graph thedistance will be the area under the curve Therefore the area willbe equal to the area of the shaded    See Answer
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