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India
Class X

Interpret key features of quadratic graphs

Interactive practice questions

The Gateway Arch in St. Louis, Missouri, is $190$190 m tall.

We can model the behaviour of objects falling from the arch using Galileo's formula for falling objects: $d=16t^2$d=16t2, where $d$d is distance fallen in metres and $t$t is time in seconds since the object was dropped. The graph of this relationship is drawn here.

Loading Graph...

What does the point at $\left(0,0\right)$(0,0) represent?

The height of the arch.

A

The position of the object after it has fallen to to the ground.

B

The initial distance fallen by the object.

C
Easy
< 1min

The sum of the series $1+2+3+\ldots+n$1+2+3++n is given by the function $S$S=$\frac{n\left(n+1\right)}{2}$n(n+1)2.

Easy
1min

In a room of $n$n people, if everyone shakes hands with everyone else, the total number of handshakes is given by $H=\frac{n\left(n-1\right)}{2}$H=n(n1)2.

Easy
1min

An object is released $700$700 metres above ground and falls freely. The distance the object is from the ground is modelled by the formula $d=700-16t^2$d=70016t2, where $d$d is the distance in metres that the object falls and $t$t is the time elapsed in seconds. This equation is graphed below.

Easy
1min
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Outcomes

10.CG.L.1

Review the concepts of coordinate geometry done earlier including graphs of linear equations. Awareness of geometrical representation of quadratic polynomials. Distance between two points and section formula (internal). Area of a triangle.

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