Aball is thrown horizontally from the top of a 60.0m and lands 100.0m from the base of the building ignore air resistance.(a) how long is the ball in the air? (b) what must have been the initial horizontal component of the velocity? (c) what is the vertical component of the velocity just before the ball hits the ground? (d) what is the velocity (including both the horizontal and velocity components) of the ball just before it hits the ground.

(a) 3.5 s

(b) 28.6 m/s

(c) 34.34 m/s

(d) 44.64 m/s

Explanation:

(a)

where is initial velocity which is zero hence

where t is time and g is acceleration due to gravity taken as 9.81 m/s2

Making t the subject,  

Substituting y for -60 m and g as -9.81 m/s2

and rounding off

t=3.5 s

(b)

Let be horizontal component of velocity

Since the range then making the subject

and substituting R for 100m, t for 3.5 s then

and rounding off

(c)

The vertical component of velocity before hitting ground

but is zero hence

and substituting g for -9.81 m/s2 and t for 3.5 s

rounded off as -34.34 m/s

(d)

The velocity before it hits the ground will be

lexy is right because she has the labeled s