0, The height of an object, H, In fee is given in the graph after t...
The height h (in feet) of an object falling from a tall building is given by the function h(t) 400 16, where t is the time elapsed in seconds (a) After how many seconds does the object strike the ground? (b) What is the average velocity of the object from t- o until it hits the ground? (c) Find the instantaneous velocity of the object after I second ft/sec Find the instantaneous velocity of the object after 2 seconds. ft/sec...
The height hx), of an object is given by the function h(x)-16x +130x+ 114 where x is time in seconds and h(x) is height in feet. Find the average velocity between x-2 and x = 2.1 Enter your answer here:
A projectile is launched straight up in the air. Its height (in feet) t seconds after launch is given by the function () - 162? + 3021 5. Find its velocity 0.9 seconds after it is launched Its velocity is If necessary, round to two decimal places. Do not include units.
A ball is thrown vertically upward. After t seconds, its height h (in feet) is given by the function h(t)=104t-16t^2 .After how long will it reach its maximum height? Do not round your answer.
10. (1 point) If h(t) represents the height of an object in feet above ground level at time t and h(t) is given by h(t) = -1672 +13t+3 find the height of the object at the time when the speed is zero. The height of the object is h(t) feet. Answer(s) submitted:
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The function s = f(t) gives the position of a moving object 9) A particle moves according to a law of motion s = f(t) fort > 0 where t is measured in seconds and s in feet. f(t) = 13 - 912 + 150 (a) Find the velocity at time t. v(t) = (b) What is the velocity after 3 seconds ? (3) = (c) When is the particle at rest? (d) When is the particle...
Show how to graph please.
Graph the function f(t)=3t(h(t−4)−h(t−9)) for 0≤t<∞0≤t<∞.
Use your graph to write this function piecewise as follows:
3t(h(t−4)−h(t−9))={
if 0≤t<4,0≤t<4,
if 4≤t<9,4≤t<9,
if 9≤t<∞.9≤t<∞.
Evaluate f(6.5)
f(6.5)=
a Graph the function f(t) = 3t(h(t-4) _ h(t-9)) for 0 < t < oo. Use your graph to write this function piecewise as follows: 3t(h(t -4) h(t 9)) if9<t<oo. help (formulas) b. Evaluate f(6.5) f(6.5) help (formulas)
The following function gives the height h meters, of a batted baseball as a function of the time, t seconds, since the ball was hit. h(t)=-4.5^2+13.5t+5.875 or https://i.gyazo.com/a83bb3b851c332dadc76e2462313605f.png A. What is the physical significance of the 5.875 for this situation? Prove this is true.B. Determine the following characteristics: axis of symmetry, direction of opening, t and h intercepts, vertex, minimum/maximum.Hint: Write in standard form.C. Graph the model with all approapriate labels and restrictions. D. At what time does the ball hit the ground? E. What is the...
in such a way that its height, h meters after t seconds is given by the equation h.-49%28 7t +42 How Atoy rocket i launched froma 42 high plat ong will it take for the rocket to hit the ground? The toy rocket will hit the ground after approximately □ seconds Type an integer or a decimal Round to the nearest hundredth as needed)
In a free-fall experiment, an object is dropped from a height of h = 144 feet. A camera on the ground 500 ft from the point of impact records the fall of the object (see figure). 500 ft Not down to scale (a) Find the position function that yields the height of the object at time t assuming the object is released at time t = 0. h(t) = At what time will the object reach ground level? (Round your...