Question

a body projected upward is at same height from ground at t = 3 seconds and t = 7 seconds .find the maximum height attained by it​

Answer 1

Answer:

maximum height attained = 125 m

Explanation:

A body projected upward is at same height from ground at t = 3 seconds and t = 7 seconds .find the maximum height attained by it​

Let Say Velocity = V

S = Ut + (1/2)at²

Distance in 3 sec

= 3V - (1/2)10 (3)²

= 3V - 45

Distance in 7 sec

= 7V - (1/2)10 (7)²

= 7V - 245

3V - 45 = 7V -245

=> 4V = 200

=> V = 50

0 = 50 - 10T

=> T = 5

at 5 sec Maximum height is attained

S = 50*5 - (1/2)10(5)² = 125 m

maximum height attained = 125 m

or

V² - U² = 2aS

=> 0² -50² = 2(-10)S

=> S = 125