P43210 The height of a rocket after t sec. is given by the function H(t) = 36t - 6t2. In how many seconds the rocket attains maximum height? O o sec O 3 sec 6 sec 36 sec

Q: 3000 If the function r(t) = 1+1 gives the number of rabbits on a farm after t months, how many…

A:

Q: A ball is launched straight up in the air from a height of 5 feet. Its velocity (feet/second) t…

A:

Q: A ball is thrown vertically upward with an initial velocity of 96 feet per second. The distance s…

A: Given, st=96t-16t2s→distance(height)where  t→timein seconds

Q: NASA launches a rocket att = 0 seconds. Its height, in meters above sea-level, as a function of time…

A:

Q: A ball is thrown into the air with an initial upward velocity of 48 ft/s. It height h in feet after…

A: Given:  h(t) height =-16 t2 +48t+4     ...(1)(i)…

Q: NASA launches a rocket at t = 0 seconds. Its height, in meters above sea-level, as a function of…

A: Solution ) when rocket splash down in sea  It means height will be 0  -4.9t2 + 76t + 339 = 0 t = - b…

Q: A ball is thrown vertically upward from the top of a 96-foottall building with an initial velocity…

A: The height of the ball above ground, s(t), in feet, after t seconds is modeled by the position…

Q: A coin is thrown straight up from the level of the roof of a 216-foot tall building with an initial…

A:

Q: 4. A ball's position, in meters, as it travels every second is represented by the position function…

A:

Q: 12. The function represents the position of a body along a straight line in t seconds is given by…

A: Given : a function that represents the position of a body with respect to time  To find the velocity…

Q: A ball is launched straight up in the air from a height of 5 feet. Its velocity (feet/second) t…

A: In this question, the concept of Integration is applied. Integration Integration is a method of…

Q: A ball is thrown into the air with an initial upward velocity of 48 ft/s. It height h in feet after…

A: Given: A ball is thrown into the air with an initial upward velocity of 48 ft/s. Height h in feet…

Q: A cliff diver plunges from a height of 49 ft above the water surface. The distance the diver falls…

A: Given:               Height of the cliff:= 49 ft;                Distance function:…

Q: A ball is launched straight up in the air from a height of 7 feet. Its velocity (feet/second) t…

A: It is given that A ball is launched straight up in the air from a height of 7 feet.  It velocity t…

Q: A ball is launched straight up in the air from a height of 7 feet. Its velocity (feet/second) t…

A: Given query is to find the velocity after 5 second.

Q: The height s, in feet of a ball thrown upward at an initial speed of 64ft/s from a cliff 50 ft above…

A: Given function is, st=-8t2+64t+50....(1) Comparing the given equation with the equation y=ax2+bx+c…

Q: A ball Is thrown from an Initlal helght of 6 feet with an initial upward velocity of 36 ft/s. The…

A: Given function is ht=6+36t-16t2. Obtain the value of t when height h= 18 ft.…

Q: A ball is thrown vertically upward from a height of 8 feet with an initial velocity of 48 feet per…

A: Given: s(t)=-16t2+28t+8

Q: A ball is thrown upward with a velocity of 224 feet per second. The position at any time t…

A:

Q: 12. The function represents the position of a body along a straight line in t seconds is given by…

A: Given: Position function is S(t)=2t3-15t2-144t+12. Differentiate the position function with…

Q: wn vertically upward. After t seconds, its height h (in feet) is given by the function li (t) =…

A: Please refer to the image below

Q: . . A ball is dropped from certain height, its position at time t is s(t) = –3t2 + 75 find the time…

A: s(t) =-3t2 +75

Q: 12. The function represents the position of a body along a straight line in t seconds is given by…

A:

Q: A ball is thrown vertically upward with an initial velocity of 80 feet per second. The distance s…

A: Given: A ball is thrown vertically upward with an initial velocity of 80 feet per second. The…

Q: A ball is thrown in the air from the top of a building. Its height, in meters above ground, as a…

A:

Q: Aball is launched straight up in the air from a height of 7 feet. Its velocity (feet/second) t…

A:

Q: The displacement in meters at time t seconds of an object launched vertically in the air from a…

A: Given, Displacement function, s(t) = −5t2 + 100t + 10 Velocity function, v(t)=s'(t)…

Q: ball is thrown straight up with an initial velocity of 56 feet per second. The height, h, of the…

A: NOTE: Refresh your page if you can't see any equations. .

Q: Divers in Acapulco, Mexico, dive headfirst at 8 feet per second from the top of a cliff 87 feet…

A: Use the position function s(t) = −16t2 +v0t + s0Where,v0 = initial velocitys0 = initial positiont =…

Q: A ball is thrown into the air with a velocity of 38 ft/s. Its height, in feet, after t seconds is…

A: Given:  A ball is thrown into the air with a velocity of 38 ft/s. The height function is given as…

Q: A ball is thrown into the air with an initial upward velocity of 48 ft/s. It height h in feet after…

A: The height h in feet after t seconds is given by the function ht=-16t2+48t+4. Substitute t=2 in…

Q: A ball is thrown vertically upward. After t seconds, its height h (in feet) is given by the function…

A: The height is given by the function  h(t)=56t-16t2 ..............(1)

Q: Q3. a) Solve for x: 7*+2 = 52x-3 b) Consider a Population of bacteria that grow according to the…

A: We have to answer the following...

Q: A ball is thrown into the air with a velocity of 38 ft/s. Its height, in feet, after t seconds is…

A: The height of the ball after t seconds is given by: s(t)=38t-16t2 Initial velocity of the ball is…

Q: A ball is launched straight up in the air from a height of 6 feet. Its velocity (feet/second) t…

A:

Q: The height h in feet of a model rocket above the ground t seconds after lift-off is given by  h(t)…

A:

Q: 12. The function represents the position of a body along a straight line in t seconds is given by…

A: To Determine: Find the velocity and acceleration functions of the body and then determine the time…

Q: A ball is thrown in the air from the top of a building. Its height, in meters above ground, as a…

A: Question is solved.

Q: A softball is tossed into the air upward from a first floor balcony. The distance of the ball above…

A:

Q: At rest, the human heart beats once every second. At the strongest part of the beat, a person's…

A: This will be a similar harmonic motion with Max displacement = 120 Min displacement = 80 Midline or…

Q: A Cessna plane takes off from an airport at sea level and its altitude (in feet) at time t (in…

A: Given: ht=2000lnt+1 Rate of climb will be rate of change of height i.e. dhdt

Q: 12. The function represents the position of a body along a straight line in t seconds is given by…

A: We have, the position of a body along a straight line in t seconds is given as st=2t3-15t2-84t+18…

Q: 3. A ball is kicked in the air and its height is modeled by the function h(t) = – 16 + 481, where…

A: Given, h(t) = -16t2 + 48t   We have to find when does ball hit the ground

Q: seconds andt = 0 corresponds to the moment the ball is thrown. a) Determine for what value of t the…

A: The height of the ball is given by the function: ht=-16t2+20t+250, where t is in seconds. We know…

Q: A car is driving away from a stop sign. The formula d=t2+3t expresses the car's distance from the…

A: The average speed = 3 ft/sec

Q: Richard tosses a ball into the air. The function h(t) = −5t2 + 10t + 6 gives the approximate height…

A: given h(t)=-5t2+10t+6

Q: NASA launches a rocket at t=0 seconds. Its height, in meters above sea-level, as a function of time…

A:

Q: A ball is thrown straight upward from the ground and attains a height of s(t) = 16t2 + 128t + 3 ft…

A: Since for the given function acceleration is positive which has to be negative in our case as it is…

Q: A ball is projected upward from the ground. Its distance in feet from the ground in t seconds is…

A: Given s(t)=-16t2+128t