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Answered

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How will a body rise that is projected vertically upward with a speed of 100ft/s? How long will it take for the body to reach its maximum height?

Sagot :

indrawboy

Motion

The motion of the body being thrown is included in uniformly accelerated motion with constant acceleration. Its acceleration is influenced by Earth's gravity of g (g = 9.8 m / s²).  By using the equation of accelerated motion can be obtained the time to reach the highest point is 3.11 s and the maximum height is 47.4 m or 155.5 ft.

Further explanation

The initial velocity of the body equal to vo in the y axis direction will continue to decrease because it is slowed by the gravity of the earth so that the speed of the body will be equal to zero. When this body speed (vy = 0), the body reaches a maximum height and at that time the body will start to reverse toward the ground again (free-fall motion).

Equation used  

v = u + gt  

v = final velocity

u = initial velocity

g is negative if the motion goes up (vertical upward motion)  

g is positive if the motion goes down (free-fall motion)  

the equation for displacement (can be used to find the maximum height) :

x = xo + vot+1/2at²

x = h

so for 100 ft/s = 30.48 m/s, time required :

[tex]\tt v=u-gt\\\\0=u-gt\\\\u=gt\rightarrow t=\dfrac{u}{g}=\dfrac{30.48}{9.8}=\boxed{\bold{3.11~s}}[/tex]

for maximum height :

[tex]\tt x=h=30.48\times 3.11-1/2\times 9.8\times 3.11^2\\\\h=\boxed{\bold{47.4~m=155.5~ft}}[/tex]

Learn more

The velocity of the ball just before it hits the ground  : https://brainly.ph/question/519262  

The speed or velocity of the ball when it reaches its maximum height  :

https://brainly.ph/question/106747  

Graphs of distance vs time  : https://brainly.ph/question/512733  

#LearnWithBrainly

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