You launch a model rocket from ground level. It moves directly upward with a con

Question

You launch a model rocket from ground level. It moves directly upward with a constant acceleration of 65.5 m/s2 for 1.30 on the rocket is negligible, what is the maximum aktitude (above the ground) achieved by the rocket? of fuel. Think about the following: Can you tind the distance the rocket travels while ts engine is on with the given information? Can you then find the dstance from the point where the angnes run out of fuel to the highest point? What is the final velocity after the initial acceleration period? How can you use this to find the distance traveled while the engines are off? What is the acceleration when the engines are off? What is the rocket's velocity, momentanily, when it reaches the maximum altitude? m

Explanation / Answer

at t = 1.30 s

speed of the rocket ,

u = a * t

u = 65.5 * 1.30 = 85.2 m/s

distance traveled in 1.3 s

d1 = 0.50 * 65.5 * 1.3^2

d1 = 55.3 m

NOw, for the total height

total height = 55.3 + (85.2)^2/(2 * 9.8)

total height = 426 m

the maximum altitude is 426 m

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