Mathphys
second part says

what is the horizontal component of the velocity just before it hits ?

third part is

what is the vertical component of the velocity just before it hits?

everything is answered in m/s (but im pretty sure thats for like literally everything i don't know)

270 m

45 m/s

59 m/s

Explanation:

Part 1.

First, to find where the package lands, we must find how long it takes to fall.

Given (in the y direction, taking down to be positive):

Δy = 175 m

v₀ = 0 m/s

a = 9.8 m/s²

Find: t

Δy = v₀ t + ½ at²

(175 m) = (0 m/s) t + ½ (9.8 m/s²) t²

t = 5.98 s

Next, find the distance traveled in that time.

Given (in the x direction):

v₀ = 45 m/s

a = 0 m/s²

t = 5.98 s

Find: Δx

Δx = v₀ t + ½ at²

Δx = (45 m/s) (5.98 s) + ½ (0 m/s²) (5.98 s)²

Δx = 270 m

Part 2.

Given (in the x direction):

v₀ = 45 m/s

a = 0 m/s²

Find: v

v² = v₀² + 2aΔx

v = (45 m/s)² + 2 (0 m/s²) Δx

v = 45 m/s

Part 3.

Given (in the y direction, taking down to be positive):

Δy = 175 m

v₀ = 0 m/s

a = 9.8 m/s²

Find: v

v² = v₀² + 2aΔy

v² = (0 m/s)² + 2 (9.8 m/s²) (175 m)

v = 59 m/s

wavelength divides in half and speed stays the same.

i had this question and the answer was 3.15 miles.

martina travels from school to her mom's office. from there, she walks to school. after school, she walks to the library and then to a friends house before finally ending back at home. find martina's total distance traveled.

a) 0 miles  

b) 0.4 miles  

c) 1 mile  

d) 3.15 miles