This is a problem that is similar to Physics 8th Edition byCutnell\'s #62 in Cha

Question

This is a problem that is similar to Physics 8th Edition byCutnell's #62 in Chapter 2.
A model rocket blasts off from the ground, risingstraight upward with a constant acceleration that has a magnitudeof 88.7 m/s2 for 1.70 seconds, at which point its fuelabruptly runs out. Air resistance has no effect on its flight. Whatmaximum altitude (above the ground) will the rocket reach? Thank you!! This is a problem that is similar to Physics 8th Edition byCutnell's #62 in Chapter 2.
A model rocket blasts off from the ground, risingstraight upward with a constant acceleration that has a magnitudeof 88.7 m/s2 for 1.70 seconds, at which point its fuelabruptly runs out. Air resistance has no effect on its flight. Whatmaximum altitude (above the ground) will the rocket reach? Thank you!!

Explanation / Answer

initial velocity=u=0 acceleration=88.7 final velocity after 1.7 s=v v=u+a*t v=0+88.7*1.7 v=150.79 m/s in 1.7 s the rocket traveled=s m s=u*t+(1/2)*a*t2 s=0+(1/2)*88.7*1.72 s=128.172 m after 1.7 s the rockets acceleration=-g=-9.8 u=150.79 let the rocket rose h m more v2=u2-2*g*h 0=150.792-2*9.8*h h=1160.083 m maximum altitude=1160.083 + 128.172= 1288.255 m

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