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# Exponential decay:The objective of this experiment is to get the trend line of heart rate and to determine the decay constant of this decay.

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Introduction

Heart Rate 1.0 Introduction 1.1 Objective The objective of this experiment is to get the trend line of heart rate and to determine the decay constant of this decay. 1.2 Theory In a radioactive decay process, the rate at which the heartbeat decrease is proportional to the heartbeat after excising(N). where the decay constant is positive number called the decay constant related to differences between hearts.The solution to this equation is: Here is the heartbeat at time t, and = N (0) is the heartbeat after excising. 2.0 Experimental Heart rate decrease that occurs rapidly when after exercise which is entirely due to increase in cardiac vagal activity, and the heartbeat decrease follow the exponential decay. By recording the number of heartbeat in a fixed period of time, we can get the curve of it and determine the decay constant. ...read more.

Middle

90 110 120 110 120 Jessica 90 84 90 160 140 140 120 120 120 110 Justin 84 78 90 170 150 120 150 150 120 100 Kandra 72 78 70 130 130 120 110 110 100 120 Mario 60 66 50 160 110 90 110 100 100 80 Mark 66 72 50 150 150 120 120 120 120 130 Nero 102 108 100 140 130 120 120 150 140 80 Ray 72 72 60 140 90 110 120 120 100 100 Rellik 96 96 90 230 190 150 140 120 100 120 Stacey 90 90 100 160 150 140 120 150 140 130 Ula 84 96 80 160 170 130 130 130 120 130 Average 84 85 82 156 143 127 125 126 118 115 2.4 Observations The intensity of the excise may be different from each one. Because some people ran fast, some people ran slowly. ...read more.

Conclusion

Different people have different physique, 5-minute running may be a big challenge to most of the students, their bodys or hearts can generate different reaction after excising, the number of heartbeat can also be various. 2. The distance which students ran through can be different as well, so students' number of heartbeat can be different. 4.1.3 Random Error 1. In the running process, because of the rainwater on the playground, someone fell down, the blood pressure got high, the heartbeat increased. 2. After running, the excising can result of lack of oxygen to the brain. Students can not remember how many the heartbeat was they just count. 4.2 Why the line can not approach the asymptote? Theoretically, the curve can approach to the straight line above infinitely, but we can't see on the graph, it may caused by insufficient data after running. 5.0 Conclusion Form the experiment, by measuring students' number of heartbeat after running , we got the curve Heartbeat v.s Time and got the decay constant from excel. The decay constant of this decay is -0.0934. ...read more.

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