The science lecture theatre of a college is
10 m wide and has a door at corner. A science teacher enters
at 12:00 noon through the door and makes 8 rounds along
the 10 m wall back and forth during the period and finally
leaves the classroom at 12:40 pm through the same door,
Calculate the instantaneous speed, average speed,
instantaneous velocity and average velocity.
(a) 0.067 m/s, 0.062 m/s, 0.062 m/s and zero
(b) 0.067 m/s, 0.067 m/s, 0.067 m/s and zero
(c) 0.067 m/s, 0.052 m/s, 0.062 m/s and zero
(d) 0.067 m/s, 0.23 m/s, 0.062 m/s and unity
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The science lecture theatre of a college is 10 m wide and has a door at a corner. A science teacher enter at 12.00 noon through the door and makes 8 rounds along the 10 m wall back and forth during the period and finally leaves the class room at 12.40 p.m. through the same door. Compute the average speed and average velocity.
Mathematics
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Praveen Ramakrishnan
Grade 11
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we know that
average speed = total distance travelled / total time taken
here,
as every round means moving back and forth or twice the distance travelled, so
total distance travelled = 8rounds x (2x10m) = 160m
total time taken = 40min [12:40 - 12:00] = 2400s
so,
average speed = 160m / 2400s
thus,
vav = 0.066 m/s
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