Kinematics: Velocity and Cart

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E102-MOTION ALONG A STRAIGHT LINE
GUIDE QUESTIONS:

1.From the data obtained, what is the effect of the height of the track to the cart’s acceleration? The data shows that sinӨ, which is dependent on the height, is getting higher as acceleration is increasing. This implicates that when object is at higher altitude, its acceleration is faster. 2.From the data obtained, how is time, t related to the inclination of the track? Explain why? Time and position of velocity are interrelated to each other and the height and gravitational pull affects the acceleration of a moving and a free falling object. 3.From the data obtained, how would you account the difference between the picket fence’s acceleration and the value of g? The value of the slope of a graph of average velocity versus time will be the acceleration due to gravity of the falling object.

E102-MOTION ALONG A STRAIGHT LINE

PROBLEM:
1.A police car is searching for a fugitive that managed to escape a while ago. Knowing that he is now safe, the fugitive begins to take a rest until he notices a police car approaching him at 10 m/s, accelerating at 5 m/s2 and it is 100 m away. The fugitive grabs a motorcycle and stars it accelerating at the same rate as the police car. How much time will it take the police car to catch the fugitive?

x = xo + vot + 1at2
2

xpolice = 0m +10m/s (t) + 0.5(5m/s2)t2
xfugitive = 100m +0m/s (t) + 0.5(5m/s2)t2

In order for the police to caught the fugitive, their final
position must be the same. Thus,
xpolice = xfugitive

0m +10m/s (t) + 0.5(5m/s2)t2 = 100m +0m/s (t) + 0.5(5m/s2)t2 (10m/s) t + ( 5 m/s2)t2 = 100m + ( 5 m/s2)t2
2 2

t=10 seconds

E102-MOTION ALONG A STRAIGHT LINE

PROBLEM:

2.A car starts from rest and moves along a straight line with an acceleration of a = (3s-1/3) m/s2, where s is in meters. Determine the car’s...
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