5. Suppose an object on the moon is thrown from a height of h = 100 m with velocity vm/s (upward). The acceleration due to gravity on the moon is a = -1.62 m/s2.5(a) Find the velocity and position of the object as functions of time(b) How high will the object get?(c) How long will it take the object to hit the ground?(d) How fast will the object be moving when it hits the ground?(e) Convert your answer from part (d) to miles per hour

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Asked Nov 22, 2019
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5. Suppose an object on the moon is thrown from a height of h = 100 m with velocity v
m/s (upward). The acceleration due to gravity on the moon is a = -1.62 m/s2.
5
(a) Find the velocity and position of the object as functions of time
(b) How high will the object get?
(c) How long will it take the object to hit the ground?
(d) How fast will the object be moving when it hits the ground?
(e) Convert your answer from part (d) to miles per hour
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5. Suppose an object on the moon is thrown from a height of h = 100 m with velocity v m/s (upward). The acceleration due to gravity on the moon is a = -1.62 m/s2. 5 (a) Find the velocity and position of the object as functions of time (b) How high will the object get? (c) How long will it take the object to hit the ground? (d) How fast will the object be moving when it hits the ground? (e) Convert your answer from part (d) to miles per hour

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Expert Answer

Step 1

Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and specify the other subparts (up to 3) you’d like answered.

v0= initial velocity = 5 m/s

h0=initial height = 100 m

v(t)= velocity at time t. 

h(t)= height at time t.

v(t) = v0 + at, in this we plug the known values. 

Answer(a): Velocity of the object at time t = v(t)= 5-1.62t

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v(t) vo+at v(t) 5-1.62

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Step 2

Position at time t= h(t)= h0 + v0t + (1/2)at^2

Answer(a): Position at time t= h(t) = 100+5t - 0.81t^2

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1 h(t)=h+vot+ at 2 h(t)-100+5t-(1.62)t2 h(t) 100+5t-0.8 1t

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Step 3

b) At the maximum height velocity will be 0. so we set v(t)=0 and solve for...

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5-1.62t-0 1.62t-5 5 t= 1.62 250 t= 81

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