Question

a particle is projected in upward direction with initial velocity vo. the height attained by the particle in time t is H=vot-1/2gt^2 ,where g is acceleration due to gravity. mark the correct sentence(s).
(a) H is maximum at t=vo/g
(b) H is zero at t=2vo/g
(c) the maximum value of H is v^2o/2g
(d) H is maximum at t=2vo/g​

Answer 1

Answer:

both options B and C are correct.

Explanation:

from the given formula

we can multiply thru by 2

i.e

2H = 2vot - gt²

divide thru by t

we have 2H/t = 2vo - gt

where H = 0

gt = 2vo

t = 2vo/g

and that proves statement B correct.

for validity of C, use Newton's third law of motion to get the answer.