A ball is tossed up vertically from ground level and returns to earth 6 s later. What was the initial velocity of the ball and how high did it go?

Respuesta :

Answer:

initial velocity = 29.4m/s

maximum height = 44.1m

Step-by-step explanation:

This problem is a projectile motion. The ball is tossed vertically from the ground, which means the angle between the ball and the horizontal is 90°

[tex]Time of flight (T) = \frac{2Usin\alpha }{g}[/tex]

[tex]\alpha =90[/tex]° (the ball is tossed vertically)

2Usinα = g*T

2U =gT/sinα

2U = 9.8* 6/ sin90°

2U=58.8

U = 58.8/2 =29.4

U=29.4m/s

maximum height attained (H) = [tex]\frac{U^{2}sin^{2}\alpha }{2g}[/tex]

=[tex]\frac{29.4^{2}*sin90^{2} }{2*9.8}[/tex]

maximum height =44.1m