Projectile motion
Notes · Sam · Edited just now
The big idea
A projectile moves sideways at a steady speed while gravity pulls it down. Split it into an x part and a y part.
y = v₀ᵧt − ½gt²
- Horizontal speed never changes
- Range is largest at 45° on level ground
- At the top, the vertical speed is zero
Key ideaThe x and y motions never affect each other.
Worked example
A ball rolls off a 20 m cliff at 15 m/s. When does it land?
20 = ½(9.8)t² ⇒ t ≈ 2.0 s
It lands 2.0 s later, 30 m from the base.
notes ~ proj motion
its 2 motions at once?? sideways + falling
v=d/t?? speed changes no, x speed stays same
y = voy t - 1/2 g t^2 (i think)
range max @ 45
top: vy = 0 !!
x and y dont affect eachother
Phy
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