Question

The acceleration of gravity can be measured by projecting a body upward

Answer 1

yes we measured you can try

Answer 2

Answer:

Explanation:

Suppose height of line A A is y y from the ground.For the motion of body along vertical direction we have, y = u t − 1 2 g t 2 or g t 2 2 − u t + y = 0 y=ut-12g t2org t22-ut+y=0...(i) t = u ± √ u 2 − 4 × g 2 × y 2 × g 2 t=u±u2-4×g2×y2×g2...(ii) Let t 1 t1 and t 2 t2 are time the body passes the two points of the same horizontal line, Then t A = t 2 − t 1 tA=t2-t1 From (ii), t 1 = u − √ u 2 − 2 g y g and t 2 = u + √ u 2 − 2 g y g t1=u-u2-2gygandt2=u+u2-2gyg ∴ t 2 A = ( t 2 − t 1 ) 2 = [ u + √ u 2 − 2 g y g − u − √ u 2 − 2 g y g ] 2 ∴tA2=(t2-t1)2=[u+u2-2gyg-u-u2-2gyg]2 = [ 2 g √ u 2 − 2 g y ] 2 = 4 g 2 ( u 2 − 2 g y ) =[2gu2-2gy]2=4g2(u2-2gy) Similarly, t 2 B = [ 4 g 2 u 2 − 2 g ( h + y ) ] tB2=[4g2u2-2g(h+y)] Now, t 2 A − t 2 B = − 8 h g tA2-tB2=-8hg ∴ ∴ Magnitude of g = 8 h t 2 B − t 2 A g=8htB2-tA2 Read more on Sarthaks.com - https://www.sarthaks.com/1563607/acceleration-gravity-measured-projecting-upward-measuring-takes-given-points-directions