n of timeas a function of timeof timeNORMAL FLOAT AUTO REAL BADIAN HPNORMAL FLOAT AUTO REAL RADIAN MPNORMAL FLOAT AUTO REAL RADIAN MP(Modeling) Solve each problem. Give approximations to the nearest hundredth. SeeExample 5.57. Height of a Toy Rocket A toy rocket (not internally powered) is launched straightup from the top of a building 50 ft tall at an initial velocity of 200 ft per sec.(a) Give the function that describes the height of the rocket in terms of time t.(b) Determine the time at which the rocket reaches its maximum height and thet Tmaximum height in feet.(c) For what time interval will the rocket be more than 300 ft above ground level?(d) After how many seconds will it hit the ground?T

Question
Asked Oct 19, 2019
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How do you answer 57?

n of time
as a function of time
of time
NORMAL FLOAT AUTO REAL BADIAN HP
NORMAL FLOAT AUTO REAL RADIAN MP
NORMAL FLOAT AUTO REAL RADIAN MP
(Modeling) Solve each problem. Give approximations to the nearest hundredth. See
Example 5.
57. Height of a Toy Rocket A toy rocket (not internally powered) is launched straight
up from the top of a building 50 ft tall at an initial velocity of 200 ft per sec.
(a) Give the function that describes the height of the rocket in terms of time t.
(b) Determine the time at which the rocket reaches its maximum height and the
t T
maximum height in feet.
(c) For what time interval will the rocket be more than 300 ft above ground level?
(d) After how many seconds will it hit the ground?
T
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n of time as a function of time of time NORMAL FLOAT AUTO REAL BADIAN HP NORMAL FLOAT AUTO REAL RADIAN MP NORMAL FLOAT AUTO REAL RADIAN MP (Modeling) Solve each problem. Give approximations to the nearest hundredth. See Example 5. 57. Height of a Toy Rocket A toy rocket (not internally powered) is launched straight up from the top of a building 50 ft tall at an initial velocity of 200 ft per sec. (a) Give the function that describes the height of the rocket in terms of time t. (b) Determine the time at which the rocket reaches its maximum height and the t T maximum height in feet. (c) For what time interval will the rocket be more than 300 ft above ground level? (d) After how many seconds will it hit the ground? T

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Expert Answer

Step 1

As per norms, the first three questions are answered. To study the motion of the object under the given conditions

Step 2

Let H(t) denote its height from the ground level. Using the standard equations of motion (under gravity) , H(t) is determined, as shown. Note that at t=0, the height is 50 (as given)

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a)H(f)=ut +0.5at +50 = 200t-16 +50

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Step 3

b) completing the square to find the maximum height (the sam...

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b)Write H(f)200-1650 50-16(t-6.25)+16x6.25 =675-16(-6.25) So,H(t) max imum at t = 6.25 sec

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