cannona.gif (24400 bytes)

Motion of Point-Mass Objects
in Two and Three Dimensions

cannonb.gif (24425 bytes)

projectileAni.gif (7838 bytes)


Previously Asked Questions

Q:     At what point in the path of a projectile is the speed a minimum?

A:    The speed of the projectile is at a minimum when the projectile has reached its highest point.  This is because the projectile only has horizontal speed, the vertical speed has gone to zero and is about to reverse direction.

 

Q:     At what point in the path of a projectile is the speed a maximum?

A:    The projectile has its maximum speed at the lowest point along its path.  Here the projectile not only has its horizontal velocity but also has a maximum vertical velocity, downwards.

 

[Top] [Previously Asked Questions] [References]

 


References

Equations

Position vector r = xi + yj + zk
Displacement delta.gif (839 bytes)r = r2 - r1
delta.gif (839 bytes)r = (x2 - x1)i + (y2 -y1)j + (z2 -z1)k
Average velocity 4-4.gif (147 bytes)
Velocity 4-6.gif (139 bytes)
v = vx i + vy j + vz k
Average acceleration 4-9.gif (254 bytes)
Acceleration 4-10.gif (146 bytes)
a = ax i + ay j + az k
Projectile motion x - x0 = (v0 cos theta2.gif (833 bytes)0 ) t

y - y0 = (v0 sin theta2.gif (833 bytes) 0) t - onehalf.gif (67 bytes)gt2

vy = v0 sin theta2.gif (833 bytes) 0 - gt

4-18.gif (322 bytes)

Path of a particle in projectile motion 4-19.gif (418 bytes)
Range of a particle in projectile motion 4-20.gif (244 bytes)
Uniform circular motion 4-22.gif (126 bytes)
Time for a particle in in uniform circular motion to complete a circle 4-23.gif (145 bytes)
Relative motion vPA = vPB +  vBA
aPA = aPB

4-32.gif (351 bytes)

[Top] [Previously Asked Questions] [References]


Mechanics List of Topics

Measurements Newton's Laws Potential Energy and Conservation of Energy Rotation of
Rigid Bodies
Elasticity
Vectors Forces and Fields Linear Momentum Angular Momentum Mechanical
Oscillations
Motion of Point-Mass Objects in One Dimension The Gravitational Field Collisions Torque Mechanical Waves
Motion of Point-Mass Objects in Two and Three Dimensions Kinetic Energy
and Work
Circular Motion of Point-Mass Objects Equilibrium Sound

ครั้งที่

เซ็นสมุดเยี่ยม

เรื่องการทดลองเสมือนจริง