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denis23 [38]
3 years ago
13

The displacement (in meters) of a particle moving in a straight line is given by the equation of motion

Mathematics
1 answer:
Ksenya-84 [330]3 years ago
4 0

Answer:

  • -2/a³ m/s
  • -2 m/s
  • -1/4 m/s
  • -2/27 m/s

Step-by-step explanation:

The velocity is the derivative of position:

  v = ds/dt = (d/dt)(t^-2) = -2t^-3

For t=a, the velocity is

  -2a^-3 = -2/a³ . . . . meters per second

For t=1, the velocity is ...

  -2·1³ = -2 . . . . meters per second

For t=2, the velocity is ...

  -2·2^-3 = -2/8 = -1/4 . . . . meters per second

For t=3, the velocity is ...

  -2·3^-3 = -2/27 . . . . meters per second

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