Question

A group of students conduct the picket fence experiment; the same one we did. Except, they conducted it on a different planet.

x (m) t (s)

0 12.66000

.05 12.82370

.10 12.89160

.15 12.94360

.20 12.98750

.25 13.02610

.30 13.0611

Compute the local acceleration due to gravity on this planet. Answer in meters per second squared, and to the fourth decimal place.

Hint: The value is between two and five meters per second squared.

Answer 1

Let the initial velocity at x=0 be u m/s

Second equation of motion

From x=0 to x=0.1 we get

which gives us

eq-1

now,

Form x=0 to x=0.30

again using second equation of motion we get

which gives us

eq-1

By solving eq-1 and eq-2 we get