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## Homework Statement

## Homework Equations

a) Calculate how long it takes the coyote to reach the edge of the cliff.

V= V0 + at

24.0 m/s= 0 + (6.0 m/s²)t

t= 4.0sec

b) What is his speed just as he gets there?

V²= V0² + 2as

V²= 0 + 2(6.0 m/s²)(48.0m)

V²= 576 m²/s²

V= √576 m/s

V= 24.0 m/s

c) Calculate the minimum constant speed of the roadrunner in order to escape the clutches of the coyote.

Min Speed = 48.0 m/ 4.0 s = 12.0 m/s

d) Calculate how far from the cliff’s edge the coyote lands in the canyon 78.4 m below. His power skates do not provide acceleration when he is air-borne.

Y= y0 + Vy0(t) + (1/2)ay(t)²

Y= y0 + Vy0(t) – (1/2)g(t)²

0= 78.4 m + 0 – (1/2)(9.8 m/s²)t²

0= 78.4 + 0 – 4.9t²

4.9t²= 78.4

t²= 16

t= √16

t= 4.0sec

x= x0 + vx0(t) + (1/2)ax(t)²

x= 0 +(24.0 m/s)(4.0s)+(1/2)(6.0 m/s²)(4.0s)²

x= 144 m

e) What is his velocity on the cactus laden canyon base when he lands there?

Vx= Vx0 + ax(t)

Vx= (24.0 m/s) + (6.0 m/s²)(4.0s)

Vx= 48.0 m/s

Vy= Vy0 + ay(t)

Vy= Vy0 – g(t)

Vy= 0 – (9.8 m/s²)(4.0s)

Vy= -39.2 m/s

V=(vx² +vy²)^1/2 = (48)² + (39.2)²)^1/2 = 61.972 m/s