Answer:
a. h = 60t − 4.9t²
b. 12.2 seconds
c. 183.7 meters
Step-by-step explanation:
a. Given:
y₀ = 0 m
v₀ = 60 m/s
a = -9.8 m/s²
y = y₀ + v₀ t + ½ at²
h = 0 m + (60 m/s) t + ½ (-9.8 m/s²) t²
h = 60t − 4.9t²
b. When the ball lands, h = 0.
0 = 60t − 4.9t²
0 = t (60 − 4.9t)
t = 0 or 12.2
The ball lands after 12.2 seconds.
c. The maximum height is at the vertex of the parabola.
t = -b / (2a)
t = -60 / (2 × -4.9)
t = 6.1 seconds
Alternatively, the maximum height is reached at half the time it takes to land.
t = 12.2 / 2
t = 6.1 seconds
After 6.1 seconds, the height reached is:
h = 60 (6.1) − 4.9 (6.1)²
h = 183.7 meters
Answer:
129°
Step-by-step explanation:
Sum of supplementary angles = 180°
One angle = 51°
Other angles = 180° - 51°
= 129°
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-2x
3x+1
10
this is what i understood from what you typed...
Answer:
Step-by-step explanation:
Let number of pounds of cans collected by Amy =
Let number of pounds of cans collected by Bruce =
Let number of pounds of cans collected by Carlos =
As per question statement, total number of cans collected = 168
..... (1)
Number of pounds collected by Bruce is rd of the pounds of cans collected by Carlos.
Number of pounds collected by Amy is equal to number of pounds collected by Bruce and Carlos combined.
Using equation (2):
Using equations (2) and (3) in equation (1), we get:
Using equation (2):
Answer:
58.40
Step-by-step explanation:
292 ÷ 5 = 58.40
hope this helps...