A model rocket is Iclunched Strarg ht ypwardfrum. the sick Of a144 -ftcliff. The initial velocity IS||9ft/sec The haight Of the, rucket hlt)=1642 1at+144 where hlt) š measured in feed and Hime t in seconds, Find to the nearest teth hundre.dths the times et which the reciket is 208 Ptabove the ground.

Q: A particle that moves along a straight line has velocity v(t)=t2e−2tv(t)=t2e-2t meters per second…

A:

Q: Q2: The pilot of an airplane pulls into a steep 45° climb at 300 km/h and releases a package at…

A: given motion is a projectile motion time of flight = 17.754 horizontal distance = 1.046 k

Q: Had Galileo dropped a cannonballfrom the Tower of Pisa, 179 ft above the ground, theball’s height…

A: We have given, s=179-16t2 a) Velocity is the derivative of the height function. Thereore, v=s'=-32t…

Q: Suppose the fanetion f (t2=te Vepreseuts the Velocity cmeasured in meter/second) of an object at…

A: f(t)=te-2t

Q: A ball is thrown straight up from the top of a building 128 ft tall with an initial velocity of 48…

A: We know that a quadratic equation ax2+bx+c, here a<0 attains maximum of -D4aat x=-b2a, where D is…

Q: Bob starts at home and for the next 4 hours he jogs along a straight path with a velocity function…

A: The objective of the question is determine the total distance .

Q: If a car driving along a freeway with traffic has travelled s(t)=3t² – 41² + 6t meters in t seconds,…

A:

Q: The position of a particle moving horizontally is given by s(t) = 2t³ – 15t2 + 24t – 11, where s is…

A: Let's find.

Q: A car driving along a freeway with traffic has travelled s(t)=r' – 21² +9t + 28 meters in t second,…

A:

Q: A particle that moves along a straight line has velocity v(t) = t²e-5t meters per second after t…

A: Given a particle that moves along a straight line has velocity v(t)=t2e-5t

Q: A particle moves along a straight line and its position at time t is given by s(t) = 2t3 – 24t? +…

A: We will find the velocity and time.

Q: if a ball s thrown in the ar with a vebcity ot 35 /S, ith beight Cn feel) after t secands is given…

A:

Q: A Model rocket is launched with an ititial Upward velocity of 235 tls. The rockets height h lin…

A: Given that a model rocket is launched with initial velocity of 235 ft/s. The height h (in feet) of…

Q: he path of a total solar eclipse is modeled by f(t)=0.00295t2−0.448t+25.485​, where​ f(t) is the…

A: Given: The path of a total solar eclipse is model is: f(t)=0.00295 t2-0.448 t+25.485 Where f(t) is…

Q: The velocity function (in meters per second) for a particle moving along a line is given by…

A: We have given

Q: A projectile is released with an initial (vertical) velocity of 110 m/s. Use the formula…

A: The velocity of particle at any time t is When the particle reach its maximum height , its velocity…

Q: If a ball is thrown vertically upward with a velocity of 80 ft/s, then its height after t sections…

A:

Q: The upward velocity of a rocket can be computed by the formula below. Compute for the time t at…

A: Given equation is, v=ulnm0m0-qt-gt v=1000 m/sq=2680 kg/su=2200 m/sg=9.8 m/s

Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = -…

A: topic - functions and derivatives

Q: A body travels along a straight line according to the law: S = 2t2– 4t + 3/t, where S is in meters…

A: Suppose f is a function of t then approximation of f't at t=a by central divided difference formula…

Q: The position of a particle at any timet is given by S =-15t2+ 48t-10. What is the velocity after 10…

A: The given question is taken from the physics  in which we have to find the velocity of the particle…

Q: If s (t) = 4t3 – 3t describes the position of a particle moving along a straight path where s (t) is…

A:

Q: ): The position of a particle travelling along a horizontal line in t seconds is s(t) = 2t³ – 12t² –…

A:

Q: The time it takes (in hours) to travel from bridge A to bridge B can be approximated by, T(v) = 119…

A:

Q: -2€ アラーは)き Vephescuts the Velocity cneasured in meter/second) of an object at tilme t>o, compute the…

A:

Q: The velocity of an airplane at takeoff, starting from a full stop, is given by the function v(t):…

A: Acceleration=velocity/time Differentiation of velocity wrt time gives acceleration .

Q: Recall that the player’s height above the floor is given by h = Vt − 16t2, where h is in feet and t…

A: First differentiate the function, h = Vt − 16t2 with respect to t to compute dhdt.  Solve the…

Q: A ball is thrown downward with a speed of 19 ft/s from the top of a 361-foot-tall building. After t…

A:

Q: Please help

A: Solution: h(t)=12t +18t3/2 -6t2 when it reaches maximum upward velocity h'(t)=0

Q: An object is thrown straight up with a velocity, in ft/s, given by v(t)=−32t+47v(t)=−32t+47, where…

A:

Q: the avrage velocity of p(t)=4.5t^2-15t+180 over[1,5]

A:

Q: The height h, in meters, of an object at time t is given by 12t + 18t – 6t2 .h(t) What is the height…

A:

Q: The deck of a bridge is suspended 285 feet above a river. If a pebble falls off the side of the…

A: Given that the height of the pebble above the water surface after t seconds is y=285-16t2 and t=2.…

Q: If a rock is thrown upward on the planet Mars with a velocity of 14 m/s, its height above the ground…

A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: The height h, in meters, of an object at time t is given by .h(t) = 12t + 18t 6t² - What is the…

A: topic - functions and derivatives

Q: If a ball is thrown vertically upward with a velocity of 160 ft/s, then its height after t seconds…

A:

Q: A ball is thrown downward with a speed of 15 ft/s from the top of a 225-foot-tall building. After t…

A:

Q: If a ball is thrown vertically upward with an initial velocity of 96 ft/s, then its height after t…

A:

Q: The deck of a bridge is suspended 215 feet above a river. If a pebble falls off the side of the…

A:

Q: A ball is thrown vertically Upward from the ground h(t) = 100+50t - 16t at what time will the ball…

A:

Q: A dynamite blast blows a heavy rock straight up with a launch velocityof 160 ft/sec (about 109 mph)…

A: Given that the height is 256 ft So, s=256, for that we find t At t=2 the rock is on the way up and…

Q: If s(t) = 2t³ – 15t2 + 36t – 10represents the position of a particle travelling along horizontal…

A: Particle is moving in a horizontal line so the acceleration and velocity will be also in the…

Q: A baseball is hit so that its height, s, in feet after t seconds is s=-16t + 44t + 4 () For what…

A: Consider the height of the baseball.

Q: A ball is thrown into the air and its position is given by h(t) = - 6.1t + 28t + 23 whereh is the…

A: I use second derivative to find out where height maximum

Q: An object moves along a horizontal line in such a way that its position at time t is specified by…

A: Since you have posted a question with multiple sub-parts, we will answer first three sub-parts for…

Q: The displacement, 8 in feet, of a particle moving in a straight line is given by 8 = 5t2 6t + 14,…

A:

Q: Bob starts at home and for the next 4 hours he jogs along a straight path with a velocity function…

A:

Q: Find a general expression for the velocity of the rock at any time t. s(t)=64-16t2,

A: Given,The displacement vector of a rock, S(t) = 64 – 16t2We need to find the general expression of…

Q: The acceleration, in centimeters per second per second, of a projectile is modeled by A (t) = 2t° –…

A: We will find the maximum acceleration of the projectile as following.

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