The waterjet's form that spews up from the nozzle is drawn as the parabola. The formula is h= -0,9a^2 + 2,7a.
A. 2,30 metres right of the nozzle Beatrice walks. Her height is 1,50 metres. Will she get wet if she stands there?
B. After what distance does the water come down on the ground again?
C. Chris walks to the exact spot where the water is highest. He is 1,60 metres long. Will he get wet?
The waterjet's form that spews up from the nozzle is drawn as the parabola. The formula is h= -0,9a^2 + 2,7a.
A. 2,30 metres right of the nozzle Beatrice walks. Her height is 1,50 metres. Will she get wet if she stands there?
h(a)=−0,9a2+2,7ah(2,30)=−0,9⋅2,302+2,7⋅2,30h(2,30)=1.449 metres.
She will get wet.
B. After what distance does the water come down on the ground again?
h(a)=−0,9a2+2,7a|h(a)=00=−0,9a2+2,7aa⋅(−0,9a+2,7)=0−0,9a+2,7=0a=2,70,9a=3 metres.
After 3 metres does the water come down on the ground again.
C. Chris walks to the exact spot where the water is highest. He is 1,60 metres long. Will he get wet?
The highest Point at 3 metres.2=1,5 metres.
h(1,5)=−0,9⋅1,52+2,7⋅1,5h(1,5)=2,025 metres.
He will not get wet.
The waterjet's form that spews up from the nozzle is drawn as the parabola. The formula is h= -0,9a^2 + 2,7a.
A. 2,30 metres right of the nozzle Beatrice walks. Her height is 1,50 metres. Will she get wet if she stands there?
h(a)=−0,9a2+2,7ah(2,30)=−0,9⋅2,302+2,7⋅2,30h(2,30)=1.449 metres.
She will get wet.
B. After what distance does the water come down on the ground again?
h(a)=−0,9a2+2,7a|h(a)=00=−0,9a2+2,7aa⋅(−0,9a+2,7)=0−0,9a+2,7=0a=2,70,9a=3 metres.
After 3 metres does the water come down on the ground again.
C. Chris walks to the exact spot where the water is highest. He is 1,60 metres long. Will he get wet?
The highest Point at 3 metres.2=1,5 metres.
h(1,5)=−0,9⋅1,52+2,7⋅1,5h(1,5)=2,025 metres.
He will not get wet.