Answer:
A. 19.6 m/s
B. 44.6 m
C. 5.0 s
D. -19.6 m/s
Explanation:
At the highest point, the stone's velocity is 0.
A. Given:
v = 0 m/s
t = 2 s
a = -9.8 m/s²
Find: v₀
v = at + v₀
0 = (-9.8)(2) + v₀
v₀ = 19.6 m/s
B. Given:
y₀ = 25 m
t = 2 s
v₀ = 19.6 m/s
a = -9.8 m/s²
Find: y
y = y₀ + v₀ t + ½ at²
y = 25 + (19.6)(2) + ½(-9.8)(2)²
y = 44.6 m
C. Given:
y₀ = 25 m
y = 0 m
v₀ = 19.6 m/s
a = -9.8 m/s²
Find: t
y = y₀ + v₀ t + ½ at²
0 = 25 + (19.6)t + ½(-9.8)t²
0 = 4.9t² − 19.6t − 25
t ≈ 5.0 s
D. Given:
v₀ = 19.6 m/s
a = -9.8 m/s²
t = 4 s
Find: v
v = at + v₀
v = (-9.8)(4) + 19.6
v = -19.6 m/s
The velocity is -19.6 m/s. If you want the speed, or magnitude of the velocity, take the absolute value: 19.6 m/s.
The independent variables would be time and he dependent variables would be the distance traveled. Time is always independent because it is not reliant on something else when something happens over a period of time.
Answer:
A
Explanation:
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