The position in metres of a projectile $t$`t` seconds after its launch is described by $x=55t$`x`=55`t` and $y=102t-17t^2$`y`=102`t`−17`t`2.

a

Find the time $t$`t` at which the projectile returns to the ground.

b

Find the maximum horizontal distance covered by the projectile.

c

Find the maximum height reached by the projectile.

d

Find the rectangular equation for the path of the projectile.

Easy

Approx 8 minutes

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Apply the geometry of conic sections

Apply the geometry of conic sections in solving problems