Interactive practice questions
A large planet outside our solar system has gravity so great that the distance $d$d metres fallen by an object after t seconds is given by $d=16t^2$d=16t2.
The graph of this relationship is shown below.
What does the point at $\left(0,0\right)$(0,0) represent?
The initial distance fallen by the object.
The position of the object after it has fallen to to the ground.
The height of the object when it is initially dropped.
The formula for the surface area of a sphere is $S=4\pi r^2$S=4πr2, where $r$r is the radius in centimetres.
In a game of tennis, the ball is mistimed and hit high up into the air. Initially (ie at $t=0$t=0), the ball is struck $2.5$2.5 metres above the ground and hits the ground $6$6 seconds later. It reaches its greatest height $2$2 seconds after being hit.