(Hint; for many the following questions think of how the dependant variable chan

Question

(Hint; for many the following questions think of how the dependant variable changes with respect to any change in the independent variable and comment on the type of graph they would produce.) O1. If we instead measured the time for the cart to glide down the incline, how could we use this measurement to determine the final velocity of the cart? Q2. What uniformly accelerated motion? type of relationship does a position vs. time plot indicate for an object that is undergoing 0s Whut ype of relationship does the velocizy vs. time plot indicate for an object undergoing 03. uniformly accelerating motion? Q4. What type of relationship is there between the acceleration of an object and the angle of incline? Q5. For which of the above relationships could we use graphical analysis to determine anything from the slope of the best-fit line and what value could we determine? Q6. What can be said about the motion of the object if the angle of incline is zero? What about 90°? Q7. What are the most significant sources of error in this activity? 19

Explanation / Answer

Q1

Suppose we got the time let us say t seconds

accleration of block coming down the incline is gsin(theta) if plane is smooth

final velocity=time*accleration=gsin(theta)*t

Q2

if accleration is uniform

say a=k where k is any constant

dv/dt=a=k

we got v=kt+C

velocit will be linear function of time

dx/dt=v=kt+C

x=kt^2+Ct+C1

and position will be parabolic function

so graph will be parabolic

Q3

Relation will be linear as shown in Q2

Q4

a=gsin(theta)

Q5

If we draw velocity vs time graph ,the slope will give us accleration of the body

Q6

motion will be free fall motion as a=g

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