Jade G.

asked • 02/09/17

When does the object strike the ground?

An object is launched at 19.6 meters per second (m/s) from a 67.8-meter tall platform. The equation for the objects height h at time after launch is h(t)=-4.9t^2 + 19.6t + 67.8, where s is meters. When does the object strike the ground?
 
I don't know where to start. We're learning about quadrat applications. I also am supposed to graph the complete trajectory of the object.

1 Expert Answer

By:

Mark M. answered • 02/09/17

Tutor
5.0 (278)

Mathematics Teacher - NCLB Highly Qualified

Jade G.

I don't know how to factor with decimals in front of the x2
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02/09/17

Mark M.

Convert by multiplying by 10
0 = 49t2 + 196t + 678
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02/09/17

Jade G.

I just realized that I need to solve by using the quadratic formula and now I don't know what to do with the two numbers, which are -2.22 and 6.22 
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02/09/17

Jade G.

I need to graph the trajector, and give the definitions for variables and t. How do I figure out how to graph this and how do I find the definition?
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02/09/17

Mark M.

The two numbers, -2.22 and 6.22, are the times at which the object hits the ground. -2.22 does not make sense, so the object hits the ground after 6.22 seconds.
h is the height
t is the time
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02/09/17

Jade G.

How would I graph this with h being on the y-axis and t being on the x-axis? 
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02/09/17

Mark M.

Yes, exactly. at t = 0, h = 67.8, at t = 6.22, h = 0.
Determine the vertex and graph.
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02/09/17

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