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Firdavs [7]
2 years ago
7

A drag racer, starting from rest, speeds up for 402 m with an acceleration of +17.0 m/s2. A parachute then opens, slowing the ca

r down with an acceleration of –6.10 m/s2. How fast is the racer moving 3.50 × 102 m after the parachute opens?
Physics
1 answer:
Irina-Kira [14]2 years ago
3 0

The racer is running at a speed of approximately 96.943 meters per second at 350 meters after the parachute is opened.

According to this question, the drag race accelerates and later decelerates <em>uniformly</em> and we can determine the final speed of the vehicle by the following kinematic formula:

v = \sqrt{v_{o}^{2}+2\cdot a\cdot s} (1)

Where:

  • v_{o} - Initial speed, in meters per second.
  • v - Final speed, in meters per second.
  • a - Acceleration, in meters per square second.
  • s - Traveled distance, in meters.

Acceleration phase

If we know that v_{o} = 0\,\frac{m}{s}, a = 17\,\frac{m}{s^{2}} and s = 402\,m, then the final speed of the drag racer is:

v = \sqrt{\left(0\,\frac{m}{s} \right)^{2} + 2\cdot \left(17\,\frac{m}{s^{2}} \right)\cdot (402\,m)}

v \approx 116.910\,\frac{m}{s}

Deceleration phase

If we know that v_{o} \approx 116.910\,\frac{m}{s}, a = -6.10\,\frac{m}{s^{2}} and s = 350\,m, then the final speed of the drag racer is:

v = \sqrt{\left(116.910\,\frac{m}{s} \right)^{2} + 2\cdot \left(-6.10\,\frac{m}{s^{2}} \right)\cdot (350\,m)}

v \approx 96.943\,\frac{m}{s}

The racer is running at a speed of approximately 96.943 meters per second at 350 meters after the parachute is opened.

We kindly invite you to check this question related to uniform accelerated motion: brainly.com/question/12920060

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A(n) _____ satellite system employs many satellites, each in an orbit at an altitude of less than 1,000 miles.
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4 0
3 years ago
Read 2 more answers
At t=0, a train approaching a station begins decelerating from a speed of 80 mi/hr according to the acceleration function a(t)=−
vredina [299]

Answer:

a)  Δx = 49.23 mi , b)  Δx = 5.77 mi

Explanation:

As we have an acceleration function we must use the definition of kinematics

     a = dv / dt

     ∫dv = ∫ a dt

we integrate and evaluators

      v - vo = ∫ (-1280 (1 + 8t)⁻³ dt = -1280 ∫ (1+ 8t)⁻³ dt

We change variables

       1+ 8t = u

       8 dt = du

       v - v₀ = -1280 ∫ u⁻³ du / 8

       v -v₀ = -1280 / 8 (-u⁻²/2)

       v - v₀ = 80 (1+ 8t)⁻²

We evaluate between the initial t = 0 v₀ = 80 and the final instant t and v

      v- 80 = 80 [(1 + 8t)⁻² - 1]

      v = 80 (1+ 8t)⁻²

We repeat the process for defining speed is

     v = dx / dt

    dx = vdt

    x-x₀ = 80 ∫ (1-8t)⁻² dt

    x-x₀ = 80 ∫ u⁻² dt / 8

    x-x₀ = 80 (-1 / u)

    x-x₀ = -80 (1 / (1 + 8t))

We evaluate for t = 0 and x₀ and the upper point t and x

   x -x₀ = -80 [1 / (1 + 8t) - 1]

We already have the function of time displacement

a) let's calculate the position at the two points and be

t = 0 h

     x = x₀

t = 0.2 h

    x-x₀ = -80 [1 / (1 +8 02) -1]

    x-x₀ = 49.23

displacement is

  Δx = x (0.2) - x (0)

   Δx = 49.23 mi

b) in the interval t = 0.2 h at t = 0.4 h

t = 0.4h

     x- x₀ = -80 [1 / (1+ 8 0.4) -1]

     x-x₀ = 55 mi

    Δx = x (0.4) - x (0.2)

     Δx = 55 - 49.23

     Δx = 5.77 mi

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3 years ago
What is the speed of a bobsled whose distance-time graph indicates that it traveled 123m in 28s?
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Explanation:

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3)12.69m/s

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8 0
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