A toy rocket, launched from the ground, rises vertically with an acceleration of 20 m/s² for 6.0 s until its motor stops. Disregarding any air resistance, what maximum height above the ground will the rocket achieve? A) 1.1 km B) 0.73 km C) 1.9 km D) 0.39 km E) 1.5 km

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Quizplus · Accepted Answer

The rocket accelerates at 20 m/s² for 6 seconds, reaching a velocity of 120 m/s (v = at). The height during this phase is 360 m (s = 0.5 * a * t²). After the motor stops, it continues upward until its velocity is 0, which takes 12 seconds (v = u + at, where u = 120 m/s and a = -9.8 m/s²). The additional height is 720 m (s = ut + 0.5 * at²). Total height = 360 m + 720 m = 1080 m or 1.1 km.

A Toy Rocket, Launched from the Ground, Rises Vertically with an Acceleration