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mezya [45]
3 years ago
15

A particle is moving along a projectile path where the initial height is 96 feet with an initial speed of 16 feet per second. Wh

at is the maximum height of the particle?
100 feet
96 feet
60 feet
56 feet
Mathematics
2 answers:
nikklg [1K]3 years ago
7 0

Answer: 100 feet. A

Step-by-step explanation:

I took the test. Got it right

leonid [27]3 years ago
4 0

Answer:

The maximum height of the particle is 100 ft

A is correct

Step-by-step explanation:

A particle is moving along a projectile path where the initial height is 96 feet with an initial speed of 16 feet per second.

The standard equation of parabolic projectile.

h(t)=-16t^2+v_0t+h_0

where,

v_0=16\ ft/s

h_0=96\ ft

h(t)=-16t^2+16t+96

So, we get the parabolic equation of path.

The maximum value at vertex.

t=-\dfrac{b}{2a}

t=-\dfrac{16}{-32}=\dfrac{1}{2}

Maximum at t=0.5

h(0.5)=-16(0.5)^2+16(0.5)+96

h(0.5)=100

Hence, The maximum height of the particle is 100 ft

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