Answer:
Explanation:
x = 3 Cos (4πt + π/5)
(a) Substitute t = 3 s
x = 3 Cos (12π + π/5)
x = 3 (0.82) = 2.46 m
(b) Velocity, v = dx/dt
v = 3 (-1)(4π) Sin(4πt + π/5)
Substitute t = 3 s
v = - 37.68 Sin(12π + π/5)
v = - 37.68 (0.572)
v = - 21.55 m/s
(c) Acceleration, a = dv/dt
a = 3 (-1)(4π)(4π) Cos(4πt + π/5)
Substitute t = 3 s
a = - 473.26 (0.82)
a = - 388.21 m/s²
(d) Phase = 4πt + π/5
Substitute t = 3 s
Phase = 12 π + π/5 = 38.308 rad
(e) ω = 4π
so, 2πf = 4π
f = 2 Hz
(f) T = 1 / f = 1 / 2 = 0.5 second
Answer:
c
Explanation:
your welcome dude good luck
a. work is the time it takes to move an object once acted upon by a force
Answer:
3054.4 km/h
Explanation:
Using the conservation of momentum
momentum before separation = 5M × 2980 Km/h where M represent the mass of the module while 4 M represent the mass of the motor
initial momentum = 14900 M km/h
let v be the new speed of the motor so that the
new momentum = 4Mv and the new momentum of the module = M ( v + 94 km/h )
total momentum = 4Mv + Mv + 93 M = 5 Mv + 93M
initial momentum = final momentum
14900 M km/h = 5 Mv + 93M
14900 km/h = 5v + 93
14900 - 93 = 5v
v = 2961.4 km/h
the speed of the module = 2961.4 + 93 = 3054.4 km/h
