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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