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After a model rocket reached its maximum height, it then took 5.0 seconds to return to the launch site. what is the approximate maximum height reached by the rocket? [neglect air resistance.]

Respuesta :

Air resistance is ignored.
g = 9.8 m/s².
At maximum height, the vertical velocity is zero.

Let h =  the maximum height reached.
Let u =  the vertical launch velocity.

Because ot takes 5.0 seconds to reach maximum height, therefore
(u m/s) - (9.8 m/s²)*(5 s) = 0 
u = 49 m/s

The maximum height reached is
h = (49 m/s)*(5 s) - (1/2)*(9.8 m/s²)*(5 s)²
   = 122.5 m

Answer: 122.5 m
onyebuchinnaji

The maximum height reached by the rocket is 122.5 m.

The given parameters;

  • time of motion of the t = 5.0 s

The maximum height of the model rocket is calculated by applying second equation of motion;

h = v₀t + ¹/₂gt²

where;

  • v₀ is the initial velocity at the maximum height before the rocket starts moving downwards;
  • g is acceleration due to gravity = 9.8 m/s²

h = 0  + (0.5 x 9.8 x 5²)

h = 122.5 m

Thus, the maximum height reached by the rocket is 122.5 m.

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