The height yy (in feet) of a ball thrown by a child is y=−112x2+6x+3y=−112x2+6x+3 where xx is the horizontal distance in feet from the point at which the ball is thrown. (a) How high is the ball when it leaves the child's hand? (Hint: Find yy when x=0x=0.)   feet (b) What is the maximum height of the ball?   feet

Q: A graph of x vs. t4, with x on the vertical axis and t4 on the horizontal axis, is linear. Its slope…

A:

Q: A certain corner of a room is selected as the origin of a rectangular coordinate system. If a fly is…

A:

Q: Two points in the xy plane have Cartesian coordinates (2.00,- 3.00) m and (- 4.00, 3.00) m.…

A: Given:-  The two-point  on the xy plane as  A= 2,-3 m B=-4, 3 m Find:-  a) The distance between the…

Q: A sphere of radius r has surface area A = 4πr and volume V = (4/3) πr . If the radius of the sphere…

A:

Q: A certain corner of a room is selected as the origin of a rectangular coordinate system. If a fly is…

A: Given : position of fly : P(2.5,1.9) Origin: O(0,0)

Q: A certain corner of a room is selected as the origin of a rectangular coordinate system. If a fly is…

A: The distance will be :

Q: If vector A has an x-component of 2.80 m and a y-component of 5.05 m, and vector B has an…

A: Given data:  x-component of vector A (Ax) = 2.80 m y-component of vector A (Ay) = 5.05 m x-component…

Q: Vector V with magnitude | V | forms an angle with the positive x-axis. Give the magnitude of the…

A:

Q: The y component of a vector K of magnitude k= 8cm shown in the figure below is K, = +5 cm. What is…

A: The projection of this vector on x axis is given by: k cosθ The projection on the y axis : k sinθ =5…

Q: What is the y-component of a vector with a magnitude of 30 that makes an angle of 25 degrees with…

A: Solution: Let R be the magnitude of the vector, H be the x-component, V be the y-component, and θ be…

Q: A certain corner of a room is selected as the origin of a rectangular coordinate system. If a fly is…

A:

Q: "ysis The most powerful engine available for the classic 1963 Chevrolet Corvette Sting Ray A.…

A: A.  327 cubic inches are 327·2.543 cm3    =3884 cm3. And since 1000 cm3 are 1 L,              this…

Q: If B is added to Č = 2.2i + 7.8j, the result is a vector in the positive direction of the y axis,…

A:

Q: Statement A: (2.567 km + 3.146 km), to two significant figures. Statement B: (2.567 km, to two…

A: Consider the statement A: Thus, the result of two significant figures will be:

Q: two points are given in polar coordinates by  (r, ?) = (2.20 m, 50.0°)  and  (r, ?) = (3.00 m,…

A:

Q: Two points are given in polar coordinates by (r, θ) = (1.60 m, 50.0°) and (r, θ) = (6.60 m, -70.0°),…

A:

Q: (a) the distance between these points and (b) their polar coordinates.

A: a) The distance between the given points can be determined as, Here, (x1, y­1) and (x2, y­2)…

Q: Determine the number of significant figures in the following measurements: a. 0.0009 b. 15,450.0 c.…

A: Rule: If the number is less than one, all the zeroes to the right of the decimal point but to the…

Q: difference between the front end of the plane and the tail end of the plane? 3.11 You are piloting a…

A: The height difference between front end and trail end of the plane is = 11.24 ft

Q: What is the length of the vector 7 = aî + bŷ + ck if a = 4.07 cm, b = -8.59 cm, and c- 4.06 cm? Give…

A: Length of a vector: The length of a vector follows the magnitude of the vector: vector…

Q: Harry, an avid TikToker, decided to look at his wristwatch to tell his friend dolphins the current…

A: Given data: Length of the hour hand,lh=5.10 cm Length of the minute hand, lm=10.50 cm To…

Q: For the multiplication of 7.443m times 8.5m, the result should be reported with how many significant…

A:

Q: A round coin has a diameter of 19.55 mm, a thickness of 1.55 mm, and a mass of 2.50 g. What is its…

A:

Q: The horizontal and vertical components of a vector are 23.6 N and 34.8 N, respectively. What the…

A: Given value--- horizontal component = 23.6 N. vertical component = 34.8 N. We have to find---…

Q: In the polar coordinate system, r is the distance from any point to the point having Cartesian…

A: In polar co-ordinate r is represented as radial component. And it can be expressed in terms of angle…

Q: Find the magnitude and direction of the vector represented by each of the following pairs of…

A: Given data: Ax=3.2 cm; Ay=-5.15 cm Ax=-5.48 m; Ay=-9.60 m Ax=-2.10 km; Ay=6.85 km

Q: The path of a baseball after being hit is modeled by f(x) = −0.007x2 + x + 4, where f(x) is the…

A: The baseball’s path can be described as, Here, x denotes the horizontal distance.

Q: A climber who is 75 kgs in mass reaches the peak of a mountain. If the mutual attraction between the…

A: Given: The mass of the climber is 75 kg. The gravitational force between the climber and the earth…

Q: During a month-long advertising campaign, the total sales S of a magazine is modeled by the function…

A: The sales function is, Sx=2x2+48x+11000 (a) The average rate of change of sales from 10 to 20 can be…

Q: Perform the following calculations and report your answer to the correct number of significant…

A: In addition and subtraction the basic rule to follow is that the answer may not have more…

Q: How many significant figures are there in (a) 78.9 ± 0.2, (b) 3.788 × 10

A: Significant figures shows that the figures which gave the accuracy in the measurement.

Q: A ball is released from rest at the top of an incline whose height 16.1 centimeters and base 116.6…

A:

Q: Two vectors A and B have precisely equal magnitudes. For the magnitude of Á + B to be 100 times…

A:

Q: For the Multiplication of 4.212m divided by 7.60m, the results should be reported with how many…

A: According to the rule of significant figures used in multiplication, the answer should be rounded…

Q: What is the answer from this calculation: 3.0 ft x 5.0 ft x 0.5 ft =? Consider both the number and…

A:

Q: A. Vector or Scalar Directions: Sort the physical quantities in the box. Write the scalar quantities…

A:

Q: The height h in feet of an object that is dropped from a height of a feet is given by the formula h=…

A: Height of one story = 12 feet so Total height of the bottle from ground = 12*5 story = 60 feet and…

Q: A =3.55 5.07; B =1.47 +4.23; What is the magnitude of A x B- Please express your answer to 3…

A: Given: A→=3.55i^-5.07j^B→=1.47i^+4.23j^

Q: A vector has a magnitude of 17 units and makes an angle of 20 degrees with the positive x-axis. The…

A: Magnitude, A = 17 units Angle, θ = 20 degrees (with the positive x-axis)  Horizontal component, Ax =…

Q: Perform the following calculations and report your answer to the correct number of significant…

A:

Q: The x and y coordinates of point P are (-8.50 m, -7.00 m). What is the magnitude of point P?

A: Solution:

Q: A student, following directions on her map, starts at the origin and walks the following routes: •…

A:

Q: A man walks 15.7667 m directed 223.2164 degrees from the positive x-axis, then he walks 27.9801 m…

A: s1 = 15.7667 m , θ1 = 223.2164° s2 = 27.9801 m, θ2 = 17.5732° s3 = 14.6125 m, θ3 = 263.5131°

Q: A map suggests that Atlanta is 730 miles in a direction of 5.00° north of east from Dallas. The same…

A: Given data: The displacement from position D to A is d1=730 miles. The displacement from position A…

Q: Hello, can you help me with this problem, all the parts, provide in-depth work. There are 3 total…

A: Given Information:

Q: How many significant figures are there in each of the following? (a) 83.4 ± 0.9 (b) 3.4130 x 109 (c)…

A: Part (a)               83.4±0.9 (+) ⇒  83.4 +0.9 = 84.3 ≃ 84.3   →3 significant number   (-)  ⇒…

Q: Perform the following multiplication and division calculations. Give a final answe with the correct…

A: a) The multiplication of figures would be 0.1184×8.00×0.0345=0.0326784

Half Life

The concept of Half Life has numerous practical applications some of them includes figuring out the effective drug dosage to finding out when a radioactive becomes safe to use. If you look for a career in Nuclear Physics you will need this concept.