topic badge
New Zealand
Level 6 - NCEA Level 1

Solve applications of quadratics

Interactive practice questions

An object launched from the ground has a height (in feet) after $t$t seconds that is modelled by the graph.

Loading Graph...

A coordinate plane is displayed with the vertical axis labeled "h (feet)" and the horizontal axis labeled "t (seconds)." The vertical axis ranges from 0 to 600, marked at every 50-unit interval. The horizontal axis ranges from 0 to 13, marked at every 1-unit interval. A vertical parabola that opens downward is in the coordinate plane.
a

What is the maximum height of the object?

$576$576 feet

A

$6$6 feet

B

$24$24 feet

C

$600$600 feet

D
b

After how many seconds is the object at its maximum height?

$13$13 seconds

A

$4$4 seconds

B

$8$8 seconds

C

$6$6 seconds

D
c

How many seconds after launch does the object return to the ground?

$0$0 seconds

A

$6$6 seconds

B

$13$13 seconds

C

$12$12 seconds

D
Easy
< 1min

On Earth, the equation $d=4.9t^2$d=4.9t2 is used to find the distance (in metres) an object has fallen after $t$t seconds. (Assuming no air resistance or buoyancy) 

Easy
2min

The distance a freely falling object falls is modelled by the formula $d=16t^2$d=16t2, where $d$d is the distance in feet that the object falls and $t$t is the time elapsed in seconds.

Easy
3min

On the moon, the equation $d=0.8t^2$d=0.8t2 is used to approximate the distance an object has fallen after $t$t seconds. (Assuming no air resistance or buoyancy). On Earth, the equation is $d=4.9t^2$d=4.9t2.

Easy
3min
Sign up to access Practice Questions
Get full access to our content with a Mathspace account

Outcomes

NA6-7

Relate graphs, tables, and equations to linear, quadratic, and simple exponential relationships found in number and spatial patterns

91028

Investigate relationships between tables, equations and graphs

What is Mathspace

About Mathspace