Analyze single-stage and two-stage rockets to determine times, speeds, heights, and more.
A single-stage rocket accelerates upward at 24.0 m/s/s for 7.29 seconds. It then slows down under the influence of gravity and eventually falls back to the ground.
Calculate the speed of the rocket at 7.29 seconds.
Speed
m/s
Calculate the height of the rocket at 7.29 seconds.
Height
m
Calculate the time at which the rocket has slowed down to 0 m/s and it has reached the highest point.
Time
s
Calculate the height of the rocket when it is at its highest point.
Calculate the rocket’s speed at a time of 40.32 seconds.
Calculate the amount of distance fallen by the rocket from the peak time (part c) to 40.32 seconds. Enter as a + value.
Distance Fallen
Calculate the height of the rocket at 40.32 seconds.
A single-stage rocket accelerates upward at 15.5 m/s/s for 4.73 seconds. It then slows down under the influence of gravity and eventually falls back to the ground.
Calculate the time at which the rocket has reached its highest point.
Time to Peak
Height at Peak
Calculate the time at which the rocket lands back on the ground.
A two-stage rocket accelerates upward at 7.06 m/s/s for 6.85 seconds (stage 1) and then at 6.62 m/s/s for an additional 6.99 seconds (stage 2). The rocket then slows down under the influence of gravity, changes directions and eventually falls back to the ground.
Calculate the speed of the rocket at the end of stage 1 (6.85 seconds).
Speed (end of Stage 1)
Calculate the height of the rocket at the end of stage 1 (6.85 seconds).
Height (end of Stage 1)
Calculate the speed of the rocket at the end of stage 2 (13.84 seconds).
Speed (end of Stage 2)
Calculate the displacement of the rocket during stage 2 (from 6.85 to 13.84 seconds).
Displacement (Stage 2)
Calculate the height of the rocket at the end of stage 2 (at 13.84 seconds).
Height (end of Stage 2)
Calculate the time at which the rocket is at its highest position.
Time to Reach Peak
Calculate the displacement of the rocket from 13.84 seconds to the time it reaches its highest position.
Disp. (end of S2 to Peak)
Calculate the height of the rocket when it is at its highest position.
Calculate the time it takes for the rocket to fall from its highest point to the ground.
Time to Fall from Peak
Calculate the time at which the rocket hits the ground (t = 0 s is the launch time).
Total Time in Air
A two-stage rocket is launched straight up from rest. It accelerates at 25.1 m/s/s for 3.63 seconds during the first stage. It accelerates at 18.0 m/s/s for 5.55 more seconds during the second stage. After second stage burnout the rocket comes under the influence of gravity only. Determine its height above launch point (in meters) after 46.21 seconds from launch.
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