# Impact: Problem Solving

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Mechanical Engineering
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JoVE Central Mechanical Engineering
Impact: Problem Solving

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In an experiment during a Mars mission, a rover fires a projectile with an initial velocity that rebounds after impacting the Martian surface.

With a known restitution coefficient and acceleration due to gravity, determine the maximum height reached by the probe post-collision.

Considering the point where the probe is launched as the origin and applying the kinematic equation, the vertical component of the projectile's velocity at the point of impact can be calculated.

Here, the upward velocity is assumed to be positive, while the horizontal velocity remains constant.

The impact is between the approaching projectile and the stationary surface. Using the coefficient of restitution and substituting the known values, the vertical component of the post-collision velocity is determined.

Next, considering the point of impact as the origin and applying the kinematic equation again, the maximum height after the collision can be calculated.

At the peak height, the probe's velocity will be zero. By substituting this value and the probe's post-collision velocity into the equation, the probe's maximum height is determined.

## Impact: Problem Solving

In an experiment conducted during a Mars mission, a rover propels a projectile with an initial velocity, and the projectile rebounds after colliding with the Martian surface. To ascertain the maximum height attained by the projectile after this collision, the known restitution coefficient and acceleration due to gravity are employed.

By designating the launch point as the origin and utilizing kinematic equations, the vertical component of the projectile's velocity at the point of impact is calculated. In this calculation, upward velocity is considered positive, while the horizontal velocity remains constant. The collision occurs between the incoming projectile and the stationary surface, and the vertical component of the post-collision velocity is determined by incorporating the coefficient of restitution and substituting known values.

As a result, adopting the point of impact as the origin and employing kinematic equations once more, the maximum height reached after the collision is computed. At the zenith of this trajectory, the projectile's vertical velocity is zero. By substituting this zero velocity and the projectile's post-collision velocity into the equation, the projectile's maximum height is then established. This analytical approach allows for a comprehensive understanding of the projectile's motion and trajectory during the Mars mission experiment.