When we estimate distances from velocity data, it is sometimes necessary to use times t0, t1, t2, t3, . . . that are not equally spaced. We can still estimate distances using the time periods Δti = ti − ti − 1. For example, a space shuttle was launched on a mission, the purpose of which was to install a new motor in a satellite. The table provided gives the velocity data for the shuttle between liftoff and the jettisoning of the solid rocket boosters. Use these data to estimate the height, h, above Earth's surface of the space shuttle, 62 seconds after liftoff. (Give the upper approximation available from the data.) h = ft Event Time (s) Velocity (ft/s) Launch 0 0 Begin roll maneuver 10 180 End roll maneuver 15 319 Throttle to 89% 20 442 Throttle to 67% 32 742 Throttle to 104% 59 1217 Maximum dynamic pressure 62 1430 Solid rocket booster separation 125 4052
Displacement, Velocity and Acceleration
In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.
Linear Displacement
The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.
When we estimate distances from velocity data, it is sometimes necessary to use times
that are not equally spaced. We can still estimate distances using the time periods
For example, a space shuttle was launched on a mission, the purpose of which was to install a new motor in a satellite. The table provided gives the velocity data for the shuttle between liftoff and the jettisoning of the solid rocket boosters. Use these data to estimate the height, h, above Earth's surface of the space shuttle, 62 seconds after liftoff. (Give the upper approximation available from the data.)
h = ft
| Event | Time (s) | Velocity (ft/s) |
| Launch | 0 | 0 |
| Begin roll maneuver | 10 | 180 |
| End roll maneuver | 15 | 319 |
| Throttle to 89% | 20 | 442 |
| Throttle to 67% | 32 | 742 |
| Throttle to 104% | 59 | 1217 |
| Maximum dynamic pressure | 62 | 1430 |
| Solid rocket booster separation | 125 | 4052 |
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