calculus help

What constant acceleration is required to increase the speed of a car from 22 mi/h to 50 mi/h in 3 s? (Round your answer to two decimal places.)

  1. 👍 0
  2. 👎 0
  3. 👁 350
  1. 22 mph = 9.83 m/s
    50 mph = 22.35 m/s

    a = change in velocity/time = (22.35 -9.81)/3
    = 4.18 m/s^2 or about half g

    1. 👍 0
    2. 👎 0
  2. If the acceleration is a
    then
    v = at + c , where c is a constant:

    when t=0 , v = 22 mi/h = 32.2666.. ft/s
    32.266.. = a(0) + c
    c = 32.2666..

    when t = 3s , v = 50 mi/h = 73.333.. ft/s
    73.333.. = a(3) + 32.26666...
    3a = 41.06666..
    a = 13.58888..

    the acceleration is 13.89 ft/s^2

    the accelereation is 9.33

    1. 👍 0
    2. 👎 0
  3. ignore the very last "the acceleration is 9.33"

    pressed "post answer" too soon

    so the acceleration is a = 13.59 ft/s^2
    and
    v = 13.59t + 32.2667

    a = 13.59 ft/s^2

    1. 👍 0
    2. 👎 0
  4. 4.14 m/s^2 = 13.6 ft/s^2 :)

    1. 👍 0
    2. 👎 0
  5. what's wrong with 28/3 mi/hr/s ? :-)

    1. 👍 0
    2. 👎 0
  6. Nothing. I use SCI unless ordered otherwise :)

    1. 👍 0
    2. 👎 0
  7. I've tried your answers to this question but they were all marked wrong.

    Thanks anyway!

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. physics mechanical energy and power

    A car m = 1850 kg is traveling at a constant speed of v = 30 m/s. The car experiences a force of drag (air resistance) of Fd = 300 N. Write an expression for the power the car must produce Pi to maintain its speed. Part (b) What

  2. physics

    The combined mass of a race car and its driver is 600. kilograms. Traveling at a constant speed, the car completes one lap around a circular track of radius 160 meters in 36 seconds. A) Based on the given information, calculate

  3. physics, dynamics

    Car A starts from rest at t = 0 and travels along a straight road with a constant acceleration of 2 m/s2 until it reaches a speed of 27 m/s. Afterwards it maintains this speed. Also, when t = 0, car B located 2000 m down the road

  4. physics

    a car starts from rest at constant acceleration of 2m/s2 at the same instant, a truck travelling at a constant speed of 10m/s overtakes and passes the car i) how far beyond the starting point will the car overtake the truck ii)

  1. Physics

    A race driver has made a pit stop to refuel. After refueling, he leaves the pit area with an acceleration whose magnitude is 6.0m/s 2 . After 4.0s he enters the main speedway. At the same instant, another car on the speedway and

  2. physics

    According to recent test data, an automobile travels 0.250 mi in 19.9 s, starting from rest. The same car, when braking from 60.0 mi/h on dry pavement, stops in 146 ft. Assume constant acceleration in each part of the motion, but

  3. Physics

    A race car can be slowed with a constant acceleration of -11 m/s^2 a. If the car is going 55 m/s, how many meters will it travel before it stops? b. How many meters will it take to stop a car going twice as fast? According to one

  4. physics

    A 605-kg racing car completes one lap in 14.3 s around a circular track with a radius of 40.0 m. The car moves at constant speed. (a) What is the acceleration of the car? (b) What force must the track exert on the tires to produce

  1. physics

    A test car starts out from rest on a horizontal circular track of 80m radius and increases it's speed at a uniform rate to reach 27.78 m/s in 10s. Find the magnitude of the total acceleration of the car 8s after the start. Ok so I

  2. Physics

    Two cars are driving at the same constant speed on a straight road, with car 1 in front of car 2. Car 1 suddenly starts to brake with constant acceleration and stops in 10 m. At the instant car 1 comes to a stop, car 2 begins to

  3. F/maths

    X, Y and Z are three points on a straight road.A car passes X with a speed of 5m/s and travels from X to Y with a constant acceleration of 2m/s^2. The car then moves with a constant retardation of 3.5m/s^2 from Y to Z and comes to

  4. Physics

    The speed time graph shows the motion of a car over a period of 40 seconds. a. describe the motion of the car between: 1.) O and A - The car is traveling at constant speed from 0 to 20 m/s. 2.) A and B - The car is at rest for 20

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