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question 39 of 57
question 39
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(problem reference m.4)
a projectile fired from a gun has initial horizontal and vertical components of velocity equal to 40 m/s and 60 m/s, respectively.
what is the speed of the projectile when it is at the highest point in its trajectory?
40 m/s
60 m/s
20 m/s
72 m/s
0 m/s

Explanation:

Step1: Analyze vertical velocity at highest point

In projectile motion, at the highest point, the vertical component of velocity \(v_y = 0\) (because the projectile stops moving upward and is about to start moving downward).

Step2: Consider horizontal velocity

The horizontal component of velocity \(v_x\) remains constant throughout the projectile motion (assuming no air - resistance, as is usually the case in basic projectile motion problems). Given \(v_x=40\ m/s\)

Answer:

40 m/s