Math- pplication of Sin and Cos&thier derivative

posted by .

An oceanographer measured a set of sea waves during a storm and modelled the vertical displacement of waves in meters using the equation h(t)=0.6cos2t+0.8sint, where t is the time in seconds.

a) Determine the vertical displacement of the wave when the velocity is 0.8m/s

b) Determine the maximum velocity of the wave and when it occurs.

c) When does the wave first change from a hill to a trough? Explain.

Ans: I tried finding the part a) by first finding the derivative, then how do i go about simplifying it. how do i find the max velocity with cos and sin in the function?

  • Math- pplication of Sin and Cos&thier derivative -

    velocity is max when acceleration is zero, so find acceleration, set it to zero, and find t.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math - app of Sine and Cosine & thier Derivatives

    An oceanographer measured a set of sea waves during a storm and modelled the vertical displacement of waves in meters using the equation h(t)=0.6cos2t+0.8sint, where t is the time in seconds. a) Determine the vertical displacement …
  2. Math - app of sinusoial derivatives (help+check)

    An oceanographer measured a set of sea waves during a storm and modelled the vertical displacement of waves in meters using the equation h(t)=0.6cos2t+0.8sint, where t is the time in seconds. a) Determine the vertical displacement …
  3. Physics

    Two displacement waves are added resulting in constructive interfernce and these waves have the same period T = 1.00 s are described mathematically by: y1 = (3.0 m) cos[ 2ðt/T + ð ] y2 = (1.00 m) cos[ 2ðt/T + 2ð ] (i) What is the …
  4. physic

    The waves emitted from a source A is given by y1 = 6 sin π(20t – 0.5x) where y1, x and t are expressed in units of meter and seconds. (a) Determine the wavelength and the frequency of the radio waves. At the same time, source …
  5. math, trigonometry, physics

    Before a tidal wave the sea level usually drops first leaving the seabed exposed. (normally about 30 feet below sea level) then it rises an equal distance above sea level. Waves hitting a city with a maximum height of 38.9 meters. …
  6. Physics

    A long straight horizontal bar vibrates in a ver tical direction with a frequency of 1.50 Hz on the surface of a large tank of water. The vibrations of the bar cause plan e waves to travel across the surface of the water. The waves …
  7. Algebra 1 high school

    In deep water, the speed s (in meters per second) of a series of waves and the wavelength L (in meters) of the waves are related by the equation 2(pi)s^2=9.8L. a. Find the speed the the nearest hundredth of a meter per second of a …
  8. Physics

    The velocity of the transverse waves produced by an earthquake is 6.13 km/s, while that of the longitudinal waves is 9.9919km/s. A seismograph records the arrival of the transverse waves 61.5 seconds after that of the longitudinal …
  9. Pre-Calculus

    During a storm a ship is being tossed up and down by huge waves. The vertical motion of the ship is given by the equation: h = 21cos((2π/5)t) where h is height above sea level in feet at time t minutes. 1) Give the first 2 times …
  10. Calculus application of sin function

    a horizontal position of the pendulum of a grandfather clock can be modelled by h(t)=Acos(2(pi)t/T), where A is amplitude of the pendulum in meters, t is time in seconds, and T is the period of the pendulum, in seconds. If the pendulum …

More Similar Questions