At time t minutes after 12:00
minute hand: x = 1.6 sin(π/30 t), y = 1.6 cos(π/30 t)
hour hand: x = sin(π/360 t), y = cos(π/360 t)
the distance z between the tips is thus
z^2 = ((1.6 sin(π/30 t) - sin(π/360 t))^2 + (1.6 cos(π/30 t) - cos(π/360 t))^2)
= 3.56 - 3.2cos(11π/360 t)
2z dz/dt = 3.2 * 11π/360 sin(11π/360 t)
so find z(120) and then dz/dt there
A clock has hands 1 and 1 3
5
inches long respectively. At what rate are the ends of the hands approaching each other
when the time is 2 o’clock?
2 answers
walang dulot