Projectile Motion Math Ia
Projectile motion with constant air friction the range of the golf ball was 270 3 ft and the max height was 46 5 ft.
Projectile motion math ia. I did an ia on projectile motion in maths hl 2 years ago and got 18 20. Air resistance was depended also on the angle at which body was moving. Drag force air resistance friction spin magnus effect lift. This is a classic physics experiment which counter to our intuition.
He has created a geogebra app to show this shown above. However i made it quite complex. View essay math ia docx from math 151 at american international school of riyadh. We have a situation where 1 ball is dropped from a point and another ball is thrown horizontally from that same point.
Rate of reaction optimisation calculus differentiation main idea using knowledge of trigonometric rules and identities solve a real world physics problem by finding a certain value or optimising that value using differentiation given a set of values that limit the domain and range. Equations 12 15 were used to derive expressions for position and. The third part of the analysis is to assume air friction is defined by the conditions in equations 4 and 5. Here we fix the velocity and then vary the angle then to plot the maximum points of the parabolas.
Projectile motion is basically the motion of an object that is moving in the air and experiences a gravitational force. Another example for investigating projectile motion has been provided by fellow ib teacher ferenc beleznay. The trajectory of the tennis ball is taken to be the ballistic trajectory of a projectile that is a single particle unit object traveling through the air. This is the path that it will take under gravitational acceleration sans all other forces vacuum trajectory.
Math ia trigonometry modelling physics. Examples of a few projectile motions are football javelin and cannon balls as they all follow a parabolic trajectory which is a curved path and fall to the ground due to earth s gravitational force. Projectile motion investigation ii. Morcom 0 projectile motion christopher morcom ib math sl ii internal assessment morcom 1 projectile motion whenever.