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What catapulted object hit the ground first?

Catapult A:
h(x)= -16x^2+64x+17

Catapult B:
time- 0,0.5,1.0,1.5,2.0,2.5,3.0,3.5
height- 28,48,60,64,60,48,28,0

Answers:

Object from Catapult B

They reached the ground at the same time

Object from catapult A

It went up but then never came down

Respuesta :

lucic

Answer:

Object from Catapult B

Step-by-step explanation:

The question is on time of flight in falling objects

Given catapult A: h(x)= -16x^2+64x+17, find the height the object will reach at time 2.0

substitute value x=2 in h(x)= -16x^2+64x+17;

h(2)= -16 × (2)² +64 ×2 +17

h(2) = -16×4 + 145

h(2)= 81

However with catapult B at t=2.0 the height reached will be 60

Solution

Catapult A object will attain h=81, when t=2.0

Catapult B object will attain h=60, when t=2.0

Thus Object from Catapult B will hit the ground first because it covered a lesser distance compared to the object from catapult A

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