14.7 : 衝撃: 問題解決

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.