Find the distance traveled in 45 seconds by an object traveling at a velocity of v(t) = 20 + 2cos(t) feet per second.

  1. 👍 0
  2. 👎 0
  3. 👁 189
  1. distance expression = 20t + 2sin(t) + c , where c is a constant
    I will assume that you mean the distance in the first 45 seconds.
    position at t=0
    = 0 + 2sin0 + c = c
    position at t = 45
    = 900 + 2sin45 + c

    distance travelled = 90+2sin45 + c - c
    = appr. 901.7 feet

    ( notice in the second 45 seconds, the object would have travelled
    1800 + 2sin90 + c - 900 - 2sin45 - x
    = appr. 900.1 , different from the distance covered in the first 45 seconds.
    If you wanted the actual distance of the path along the sine curve of the object you would have a much more difficult question)

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. calculus

    If a ball is thrown into the air with a velocity of 48 ft/s, its height in feet t seconds later is given by y = 48t − 16t2. (a) Find the average velocity for the time period beginning when t = 2 and lasting for each of the

    asked by Dann on January 31, 2018
  2. calculus

    Find the distance traveled in 45 seconds by an object traveling at a velocity of v(t) = 20 + 9cos(t) feet per second.

    asked by Anonymous on September 21, 2011
  3. math(mechanics)

    the velocity of a particle traveling in a straight line is given by v=(6t-3t^2)m/s, where t is in seconds, if s=0 when t= 0. determine the particles deceleration and position when t=3s. how far has the particle traveled during the

    asked by chanz11 on April 18, 2012
  4. Calculus

    When estimating distances from a table of velocity data, it is not necessary that the time intervals are equally spaced. After a space ship is launched, the following velocity data is obtained. Use these data to estimate the

    asked by John James on November 6, 2014
  5. Algebra 2

    A large asteroid crashed into a moon of a planet, causing several boulders from the moon to be propelled into space toward the planet. Astronomers were able to measure the speed of one of the projectiles. the distance (in feet)

    asked by Nicole on February 18, 2015
  1. Calculus(math)

    A particle is moving on a straight line in such a way that its velocity v is given by v(t)=2t+1 for 0≤t≤5 where t is measured in seconds and v in meters per second. What is the total distance traveled (in meters) by the

    asked by Alice on June 21, 2015
  2. algebra

    It takes Ross, traveling at 24 mph, 10 minutes longer to go a certain distance than it takes Evelyn traveling at 30 mph. Find the distance traveled

    asked by cory on March 31, 2016
  3. Calculus AP Exam review explanation pls

    1) The average value of the function g(x) = 3^cos x on the closed interval [ − pi , 0 ] is: 2)The change in the momentum of an object (Δ p) is given by the force, F, acting on the object multiplied by the time interval that the

    asked by ReviewDay :( on March 4, 2017
  4. Calculus

    The velocity function is v(t)=t^2−5t+4 for a particle moving along a line. Find the displacement and the distance traveled by the particle during the time interval [-1,5]. So I found the antiderivative of the function, which

    asked by Anonymous on April 11, 2017
  5. Math

    A car moves along a straight road in such a way that its velocity (in feet per second) at any time t (in seconds) is given by v(x) = 3x sqrt(9-x^2) on an interval of 0,3. Find the distance traveled by the car in 3 seconds.

    asked by Peter on April 16, 2019
  6. physics

    A body with uniform acceleration covers 76 m in the 5th sec and 116 m in the 10th sec.Find the distance traveled in the 15th sec.what is the distance traveled in next 5 seconds. As the body is travelling with uniform acceleration

    asked by rati on June 21, 2016

You can view more similar questions or ask a new question.