Once we have mastered the art of calculating
time of flight (refer
to part-1), we just need two more principles to calculate total distance mentally
as STEPS students do.
Principle 3: the time required to
reach max height is half the time of flight.
Principle 4: The average velocity
under uniform acceleration is average of initial and final velocities. Since
the final velocity is zero, the average velocity is simply half of initial
velocity.
Check complete details @ http://www.tcyonline.com/blog/ntse-study-tips-on-free-fall-equations-part-2
Now let us calculate the maximum
height of a ball projected up with a speed of 30 m/s which is just the distance
travelled up by the projectile before it stops.
Time taken to reach max height =3 s
Average speed is 15 m/s
Max height = 45 m
Isn’t that COOL STUFF! We will cover
the case of projectiles in 2-D in the third part.
Attempt more questions to practice and prepare for NTSE exam @
http://www.tcyonline.com/exam-preparation-ntse-olympiad-preparation-and-practice-test/100194/ntse-nsejs-kvpy
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