Question

ASAP HELPP PLEASE ?

Answer 1

Answer:

The required formula is $v=\frac{h-c}{t}+16t$. The initial velocity is 90 ft/s. At t=0, the value of v is undefined.

Step-by-step explanation:

The equation below describes the height, h, of the t-shirt, t seconds after it is shot from the cannon c feet above the ground, at an initial velocity of v.

$h=-16t^2+vt+c$

We need to solve this equation for v.

Subtract c from both sides.

$h-c=-16t^2+vt$

Add 16t² on both sides.

$h-c+16t^2=vt$

Divide both sides by t.

$\frac{h-c+16t^2}{t}=v$

$v=\frac{h-c}{t}+16t$         .... (1)

Therefore the required formula is $v=\frac{h-c}{t}+16t$.

We need to find the velocity for

Initial height c = 5 feet

Time t = 3 sec

Height h = 131 feet

Substitute c = 5, t = 3 and h = 131 in equation (1).

$v=\frac{131-5}{3}+16(3)$

$v=42+48=90$

Therefore the initial velocity is 90 ft/s.

Substitute t=0 in equation (1).

$v=\frac{h-c}{0}+16(0)$

$v=\infty$

At t=0, the value of v is undefined.

Answer 2

1. h = -16t² + vt + c
⇒ vt = 16t² + h - c
⇒ v = 16t + (h-c)/t

2. c = 5 ft
t = 3s
h = 131 ft

v = 16*3 + (131-5)/3 = 48 + 42 = 90 ft/s

when t=0, velocity is not defined. That means at t=0, there is no velocity of the t-shirt or it is 0.