Mathematics in motion Research Paper Example | Topics and Well Written Essays - 750 words

Mathematics in motion - Research Paper ExampleP is the momentum of the go object and m is the mass of the moving object. The mass of the object remains constant. During collision of the vehicle, momentum is conserved. motor simple machine collisions are inelastic in nature. A car tries to absorb the impact of collision by amusive the force. During this type of collision momentum is conserved but the kinetic energy is not totally conserved. The graft of the kinetic energy is difficult. It is easier to determine the position of an object, if the force is known. The simple way to do this is to double shuffle the differential equation of force twice. After the first integration velocity is the yield and after chip integration, position of the object can be determined. The method can be utilized to evaluate the escape of an object. The method is an easier method that gives an analytical solution to evaluate the position of the object when the force is the function of clock time (C hemistry.clemson.edu, 1998). The function depicts that the collision between the vehicles is fatal due to the gain in the kinetic energy with valuate to the increase in the force with respect to time. The function gives that force is directly proportional to the displacement. However, it is also subordinate on the time. The three equation of motion are (1) .. (2) .. ... and the device driver accelerates the car with 2m/s2 for 5 second, he allow for attain a velocity of 11m/s, which is relatively high speed as compared to the initial velocity. In the connatural manner if the driver has an initial velocity of 50m/s and driver accelerates the car with 5m/s2 for 10 second, he go away attain a velocity of 100m/s that is double the initial velocity. Thus it is important to comprise carefulness of the speed laws and accelerate the car recommended manner. In other case, if the driver has the initial velocity of 10m/s and driver accelerates the car with 5m/s2 for 10 second, he will c over about 350 meters. In the similar manner if the car is going too fast consider at 100m/s and we have to offend it to 0m/s in 2 seconds. The car has to decelerate at the rate of 50m/s2. If the rate of deceleration is about 20m/s2, the car would take 5 seconds stop. That speed laws are there to control the speed of the vehicle and stop the vehicle in no time. The more the car attains speed, the more time it will require to stop the car. In the similar manner, if the car stops in 5 seconds and decelerate at -20m/s2, it will cover about 250 meters to stop the car. If we want to stop the car in just less than 10 meters then the deceleration require will be -500m/s2, which is what we require in case of stopping the car. In this way, speed should be controlled accord to the speed laws. References Chemistry.clemson.edu (1998).Newtons Equation of Motion. online Retrieved from http//chemistry.clemson.edu/chemdocs/marcusgroup/software/CONCEPT/QMA/fma/fma.htm Accessed 6 celestial latitu de 2013. Physics.info (2013).Equations of Motion - The Physics Hypertextbook. online Retrieved from http//physics.info/motion-equations/ Accessed 6 Dec