Application Note — Real-World Kinematics — Notes

Application	Kinematics Principle	Key Detail
Cricket ball trajectory	Projectile motion	Bowler uses spin to modify effective g; fielder predicts landing by estimating R and T
Car speedometer	Speed vs velocity distinction	Speedometer shows scalar speed; GPS shows vector displacement per unit time
Satellite in orbit	Uniform circular motion	$a_c = \frac{v^2}{r}$ provides centripetal force; no tangential acceleration in circular orbit
Roller coaster loop	Circular motion + SUVAT	Min speed at top of loop: $v_{min} = \sqrt{gr}$ (centripetal ≥ g)
Water from a rotating sprinkler	Projectile + circular	Water exits tangentially and follows parabolic path outward
Javelin throw	Projectile; θ ≈ 35° optimal	Air resistance shifts optimal angle below 45°; still uses $R = \frac{u^2\sin 2\theta}{g}$ as baseline
Elevator acceleration	SUVAT, sign convention	Going up and decelerating: a is negative (downward) even though motion is upward
Speedboat on circular lake	Circular motion	Angular velocity ω = v/r; centripetal acceleration directed toward centre