Linear Motion (8, 1); Object In Free Fall (8, 2); Projectile Motion (8, 3) - HP 48gII Advanced User's Reference Manual

Linear Motion (8, 1)

Equations:
1
-- -
x = x0 + v0 t + a t
2
1
-- -
x = x0 + v0 +
2
Example:
Given: x0=0_m, x=100_m, t=10_s, v0=1_m/s
Solution: v=19_m/s, a=1.8_m/s^2.

Object in Free Fall (8, 2)

Equations:
1
-- -
y = y0 + v0 t + g t
2
2 2
v = v0 + 2 g y
Example:
Given: y0=1000_ft, y=0_ft, v0=0_ft/s
Solution: t=7.8843_s, v= -253.6991_ft/s.

Projectile Motion (8, 3)

Equations:
x = x 0 v 0 + C O S 0 t
v x = v 0 C O S 0
v 0
- - - - - -- - S I N 2
R =
Example:
Given: x0=0_ft, y0=0_ft,
Solution: R=1243.2399_ft, vx=141.4214_ft/s, vy= -180.3186_ft/s, x=1414.2136_ft, y= -194.4864_ft.
2
x = x0 + v t +
v t v = v0
2
y = y0 + v t +
+ y0 v = v0 +
y = y0 + v0 SIN
v y = v0 SIN
2
0
g
0 =45_ , v0=200_ft/s, t=10_s.
1
2
-- -
a t
2
+ a t
1
2
-- - g t
2
g t
1
2
-- -
0 t – g t
2
0 – g t
Equation Reference 5-35