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Firdavs [7]
3 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]3 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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<h3>What is normal force?</h3>

The force of contact is called the normal force. When the two surfaces are in contact with each other, then the normal force acts.

This force is applied by the solid bodies on each other in order to prevent the passing through each other.

A box slides down a frictionless incline, gaining speed. For this box, the value of work done by normal force has to be found out. Let's analyze the given condition.

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brainly.com/question/10941832

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