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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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