The path that the firework takes is given by the equation h = -2t^2+8t+3, where h is the height of the firework in meters and t is the time in seconds. a)    Determine the maximum HEIGHT of the firework (complete the square).  b)    After how many SECONDS does it reach this MAXIMUM HEIGHT to the nearest TENTH of a unit. c)    Determine the INITIAL HEIGHT that the firework is launched from. d)    If the firework doesn’t explode in mid-air, determine how long it will take the firework to land on the ground.

Q: Kenny is climbing the stairs of his apartment building for exercise. Kenny weighs 83 kg and the…

A: Given :m=83kg h=11 inches per step=0.27m Change in potential energy =mgh-0= 83*10*0.27=224.1J The…

Q: Draw each of the following vectors, then find its x- and y-components.a. d→ = (2.0 km, 30° left of…

A:

Q: The velocity-time graph that describes the velocity of an object with time is given as in the figure…

A: a = 98.5 b = 124.6 c = 57

Q: 5. The height of a football is modelled by the function h(t) = -5² + 15t + 1, where h(t) is the…

A: Given: Height, h(t)=-5t2+15t+1                                          (1)

Q: Your frined drops a tennis ball from her window (66.1 m above the ground).  One second later you…

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Q: A foul ball is hit straight up into the air with a speed of 30.0 m/s. Calculate the time required…

A:

Q: Elsa?! Bida-bida. In Arendelle, Queen Elsa loves to show magic tricks to the kids and so, sje begins…

A: Height of Olaf h=1.63 m and maximum height above Olaf's head gained by Elsa h1=5.37 m in time…

Q: Direction: Solve the problem. X2- 5000 m X- Om t- Os ts- 5s ta- 10s X =? A x = R1) = t -t +2 a =? B…

A: (a) Average velocity of particle A and particle B in m/s in 10 s trip. (b) Displacement x of the…

Q: A stone is thrown vertically upward with a speed of 17.6 m/sm/s from the edge of a cliff 75.0 mm…

A:

Q: You have negotiated with the Omicronians for a base on the planet Omicron Persei 7. The architects…

A: The given values are, gOP7=7.29 flurggrom25.24 flurg=1 meter1 flurg=15.24 meter=0.19084 m1…

Q: An ant starts at the origin (x = 0) and crawls along the x - axis with velocity (in units/sec) given…

A:

Q: particle A particle moves along the -axis with position varying according to the expression  2.5t 3…

A:

Q: A baseball is hit almost straight up into the air with a speed of 24 m/sm/s .

A: Write the given values of the problem u=24 msv=0

Q: A ball is dropped from the top of a building. It took 10 seconds for the ball to hit the ground.…

A: Given data:  Ball dropped from top of a building  Initial velocity (Vi) = 0 m/s Time (t) = 10 s…

Q: A frustrated office worker throws his laptop out of his business's high- rise office building. The…

A:

Q: he position of a particle is given by the equation s(t)=10t^2−20/3 t^3−5/4 t^4+t^5 where t is…

A:

Q: A) Find its velocity as a function of time. Letters A and B are not allowed in the answer. Express…

A: Given, Acceleration,axt=At-Bt2 Where A=1.50m/s2B=0.120m/s2 A. Acceleration,…

Q: joggers a and b starting from the same point , jogging in opposite direction in a circular track…

A:

Q: a. enter a symbolic expression for the average acceleration vector of the car during the given time…

A:

Q: A 0.26-kg rock is thrown vertically upward from the top of a cliff that is 32 m high. When it hits…

A:

Q: The graph above shows the height h, in feet, of a ball t 40 seconds after it was thrown from the top…

A: Required : True statement.

Q: When recording the data of the speed of a wasp, the following graph was produced. What is the speed…

A: The following information is taken according to the graph as, The intial position of the object is…

Q: The position of a particle as a function of time is given Part C by7 (6.4 i+ 3.1 3)t m, where t is…

A: Recall V→=dr→/dtWhere r → is position vector of particle.

Q: 15 velocity (m/sec) vs time (sec) 5. 13 16 5 3 55 65 -13 The diagram above shows the velocity(m/s)…

A: The relation between velocity (v) and distance(x) traveled is given as, v = dxdt to solve for…

Q: As a technical engineer in the army, you are part of a team in charge of testing and commissioning a…

A:

Q: A rubber ball rebounds to 0.72 of the height from which it has dropped. It is first dropped from a…

A: The initial height of the ball is h = 6 m and the ball rebounds to 0.72 of the height from which it…

Q: An ant travels 3.95 inches due east, then turns and travels an additional 3.35 inches south. The ant…

A:

Q: A physics student took a 4 hours car trip to visit a friend. In the first hour, he traveled 100 km…

A: In the first hour 100km In next 2hours at rest  In the next 1 hour 90km

Q: (i) Briefly describe the working principle of the ultrasonic device in measuring fluid level.…

A:

Q: 2. Suppose we now have a little ball bouncing vertically and lightly on the trampoline. The ball's…

A: The graph of h(t) in this case would be a series of parabolas, each representing a bounce of the…

Q: Consider the following descriptions of the vertical motion of an object subject only to the…

A:

Q: A circular racetrack has a radius of 500 m. What is the displacement of a bicyclist when she travels…

A: Displacement is the minimum distance between the two points.

Q: A) Calculate the maximum height above the roof reached by the rock. Express your answer in meters.…

A: Given, height of the building, h = 15 m  initial velocity o rock, u = 26 m/s the angle of…

Q: An airplane decelerates at a uniform rate of 8.0 m/s2 (a = -8.0 m/s2), until it stops after…

A: Given data: Acceleration (a) = -8.0 m/s2 Displacement (Δx) = 483 m Final velocity (v) = 0 m/s…

Distance and Speed

The speed, distance and time relation forms the basis of study of motion. You will need these concepts in the study of Mechanics. This concept is applicable for students who are studying the following courses –