Aparticle is moving along a projectile path where the initial height is 96 feet with an initial speed of 16 feet per second. what is the maximum height of the particle? 100 feet 96 feet 60 feet 56 feet

The maximum height of the particle is 100 ft

A is correct

Step-by-step explanation:

A particle is moving along a projectile path where the initial height is 96 feet with an initial speed of 16 feet per second.

The standard equation of parabolic projectile.

where,

So, we get the parabolic equation of path.

The maximum value at vertex.

Maximum at t=0.5

Hence, The maximum height of the particle is 100 ft

an

y = 6x -3y -12

y +3y +12 = 6x

=> . x = { 2y / 3 +2 } this is equation of line in terms of x

=> . if line meets the x-axis the co-ordinates of meeting point would be ( x , 0 )

=> . x = 2 ( 0 ) / 3 + 2

=> . x = 2

so, the point is ( 2 , 0 )