physics

An unsuspecting bird is coasting along in an easterly direction at 4.00 mph when a strong wind from the south imparts a constant acceleration of 0.300 m/s2. If the acceleration from the wind lasts for 2.70 s, find the magnitude, r, and direction, θ, of the bird\'s displacement during this time period. (HINT: assume the bird is originally travelling in the x direction and there are 1609 m in 1 mile.)

  1. 👍
  2. 👎
  3. 👁
  4. ℹ️
  5. 🚩
  1. Vb = 4mi/h * 1609m/mi * 1h/3600s = 1.79
    m/s.

    Vw = a*t = 0.30 * 2.7 = 0.81 m/s.

    Vr. = sqrt(Vb^2+Vw^2) = 1.96 m/s. = Resultant velocity.
    D = Vr*t = 1.96*2.7 = 5.29 m.

    Tan A = Y/X = Vw/Vb = 0.81/1.79=0.45251
    A = 24.3o = Direction.

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
  2. Vb = 4mi/h * 1609m/mi * 1h/3600s = 1.79
    m/s

    To solve the problem, you need to create a formula with a position as a function of time for the bird(x) and the wind(y), and then use R = sqrt(Rx^2 + Ry^2) to find the resultant magnitude and the inverse tangent of y/x

    R = Ri(initial) + Vi*t + 1/2(Ri)t^2

    Rx = 0 + 1.79(2.7) + 1/2(0)(2.7)^2 = 4.833

    Vi for the wind is 0 because it is with respect to the bird for the y coordinate
    Ry = 0 + 0(3.7) + 1/2(0.3)(3.7)^2 = 2.054

    R= sqrt(4.833^2 + 2.054^2) = 5.251 meters

    A = arctan(2.054/4.833) = 23.025 degrees

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩

Respond to this Question

First Name

Your Response

Similar Questions

  1. Science!!!!!! Help me!!!!!1

    Three Bird Species share a habitat, Bird A insects and plant seeds. Bird B dirnks flower Nectar. Bird C eats plant seeds. A drought occurs in thier habitat, and that seasons plants are wiped out entirely. What is the likely

  2. science HELP PLEASE

    A bird-watcher sees a small yellow bird in a tree. Explain to the bird-watcher how he can use a dichotomous key to identify the bird. Assume he does not know anything about dichotomous keys. Then, write two steps of a dichotomous

  3. science

    Three bird species share a habitat. Bird A eats insects and plant seeds. Bird B drinks flower nectar. Bird C eats plant seeds. A drought occurs in their habitat, and that season’s plants are wiped out entirely. What is the

  4. Physics

    An Australian emu is running due north in a straight line at a speed of 13.0 m/s and slows down to a speed of 10.9 m/s in 3.70 s. (a) What is the magnitude and direction of the bird’s acceleration? (b) Assuming that the

  1. Physics

    Canadian geese migrate essentially along a north-south direction for well over a thousand kilometers in some cases, traveling at speeds up to about 100 km/h. If one such bird is flying at 100 km/h relative to the air, but there is

  2. Physics help

    A 300 g bird flying along at 6.4 m/s sees a 10 g insect heading straight toward it with a speed of 34 m/s (as measured by an observer on the ground, not by the bird). The bird opens its mouth wide and enjoys a nice lunch. What is

  3. word problem

    An airplane is flying with a heading of 60 degrees east of north at 450 mph. A wind is blowing at 37 mph from the north. Find the plane's ground speed to the nearest mph and direction to the nearest degree. Thanks.

  4. mathematics

    Three bird species share a habitat. Bird A eats insects and plant seeds. Bird B drinks flower nectar. Bird C eats plant seeds. A drought occurs in their habitat, and that season’s plants are wiped out entirely. What is the

  1. maths

    a yacht is moving at 10km/h in a south easterly direction and encounters a 3km/h current from the north. find the actual speed and direction of the yacht

  2. trig

    An airplane has air speed of 540 mph and a heading of 50*. The wind is blowing from the north at 27 mph. Find the plane's ground speed and course direction.

  3. physics

    A journey consists of two displacements: the first is 500m in a northerly direction and the second is 200m in an easterly direction. In a space below draw, to scale, a vector diagram of these displacements. State the scale of your

  4. Math

    A yacht is moving at 10kmh in a south easterly direction and encounters a 3kmh current from the north. Find the actual speed and direction of the yacht.

View more similar questions or ask a new question.