Question

Physics- can someone please do this for me and show me the steps thanks

Answer 1

a) 23.0 m

b) -11.2 m

c) 177 m/s

d) 4.65 s

Step-by-step explanation:

Given:

v₀ = 22.8 m/s

a = -9.8 m/s²

a) Find Δx when t = 3.18 s.

Δx = v₀ t + ½ at²

Δx = (22.8 m/s) (3.18 s) + ½ (-9.8 m/s²) (3.18 s)²

Δx = 23.0 m

b) Find Δx when t = 5.10 s.

Δx = v₀ t + ½ at²

Δx = (22.8 m/s) (5.10 s) + ½ (-9.8 m/s²) (5.10 s)²

Δx = -11.2 m

c) Find v when Δx = 17.5 m.

v² = v₀² + 2aΔx

v² = (22.8 m/s)² + 2 (-9.8 m/s²) (17.5 m)

v = 177 m/s

d) Find t when Δx = 0 m.

Δx = v₀ t + ½ at²

(0 m) = (22.8 m/s) t + ½ (-9.8 m/s²) t²

t = 4.65 s