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Mumz [18]
3 years ago
7

ASAP HELPP PLEASE ?

Mathematics
2 answers:
miss Akunina [59]3 years ago
8 0

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.

Kipish [7]3 years ago
5 0
<span>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.
</span>
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