Grade 11 kinematic and vector analysis and projectile motion
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Transcript of Grade 11 kinematic and vector analysis and projectile motion
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Kinematic and Vector AnalysisPHYSICSGRADE XI2016
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Position of particle
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Determine the displacement of particle
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Velocity of particlea.Average
velocity
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Instaneous Velocityas the gradient of component r vs t
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Instaneous velocity as the differential from the function of position
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Determine the position from velocity
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Displacement as the area under the graph v-t
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Acceleration Average acceleration
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Instaneous Acceleration Instaneous acceleration define as the gradient of v(t) graph
Instaneous acceleration is the differential of the velocity function to the respect of time
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Determine velocity from a-t graph
A-t graph
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Homework time…1. A particle moves based on the following equation :
r(t) = 3t2 − 2t + 1, t in second and r in meter.Determine : a. Velocity at t = 2 secs b. Average velocity between t = 0 sec to 2 secs
2. A particle moves based on the following equation :
If the initial position at the center of coordinate, determine the position after 3 secs
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Angular Velocity
Angular velocity is defined as the result of the angular displacement devided by time
Instaneous Angular velocity is the differential of position with respect to the time
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Angular position fromangular velocity
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Angular accelerationMenentukan Besar Percepatan Sudut dari Kemiringan Grafik ω-t
ß is the angle between ω-t graph vs t axis.
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Determine angular velocity from acceleration
ω0 is the initial angular velocity (ω at t = 0).
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CIRCULAR MOTION
Tangential Acceleration
Total acceleration
Direction
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KINEMATIC CIRCULAR MOTION
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Exercise Convert to radian : 900 and 2700
Convert to radian/second : 120 rpm and 60 rpm A circular motion with angular acceleration 2 rad/s2. If it starts at rest.
Determine :a) Angular acceleration after it moved 5 secondsb) Angular position after it moved 5 seconds
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PROJECTILE MOTION
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Position and velocity equation for projectile
At X axis
At Y axis
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What about the velocity at certain time
Magnitude of Velocity
Direction of velocity
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How to determine the maximum heigth and the maximum range of motion?
Coordinate for maximum
height
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Time taken for maximum range (t0a)
t0H is time taken at maximum heigth
Maximum range ( R )
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See the following figure about projectile motion. The initial velocity is 100 m/s and the elevation 370.
1. Initial velocity to the respect of X-axis2. Initial velocity to the respect of Y-axis3. Velocity at t = 1 second4. Direction of velocity to the respect of horizontal 5. Heigth of bullet at t = 1 second6. Horizontal range of bullet at t = 1 second7. Maximum heigth8. Maximum range9. Time taken to reach maximum heigth10.Velocity at maximum heigth11.Time taken to reach maximum range