If a rock is dropped from a height of 202 ft, its poistion t seconds after it is dropped until it hits the ground is given by the function s(t) = -16t² + 202. Round values below to 3 decimal places. How long does it take the rock to hit the ground? seconds Find the average velocity of the rock from when it is released until when it hits the ground. feet per second What time after the rock is thrown will its instantaneous velocity be equal to its average velocity? (Apply the Mean Value Theorem) seconds after it is thrown

Q: 2. In the calculation of the area of the same square measuring: 5.0 cm ±.05 cm by 5.0 cm ±.05 cm,…

A: The area of square is, A=a2 Here, a is the side of the square.

Q: A 75 kg tight rope walker takes a break when walking across a tight rope. The angle 0 in the picture…

A:

Q: VA = 80 ft/s 45° -d- X B Given: The golf ball is struck with a velocity of 80 ft/s as shown. Find:…

A: From the ,  ...................(1)Given, , and .So, by using kinematics equation of motion along…

Q: Four research teams measured the length of a rare whale, and what each team wrote in its team…

A: Accurate measurement: The closeness of measured value with a standard value or true value is called…

Q: Given the following measured quantities:

A: δ=errortrue value100% Error % in t. δ=0.002 s0.025 s100%=8.0% Error % in L. δ=1 m153 m100%=0.65 %

Q: Let Q₁ = 1 μC, Q2 = 5 μC, and Q3 = -6 μC. (a) Find the electric field at the location of Q1, due to…

A:

Q: As an agricultural engineer, you must design a trapezoidal open channel to carry irrigation water…

A: Given Cross-sectional area A = 55 m2 Determine the optimal dimensions to minimize the wetted…

Q: 7. Northern California is home to the largest geothermal power plant in the world. Its heat source…

A: The temperature of the water in Kelvin is, TH=195+273=468 K The temperature of the outside air in…

Q: marathon runner completes a 42.188-km course in 2 h, 39 min, and 25 s. There is an uncertainty of 24…

A: Distance covered x = 42188 m                      Time t = 2 hr 39 min 25 s…

Q: 1) Perform the indicated mathematical operations. State the uncertainty of the final answer as ±…

A: In the given question, the calculations can be performed as,

Q: Calculate the volume and percent error/uncertainty in the volume of a rectangular sample block of…

A: Given Data :  Block length l = 13.51 +/- 0.05 cm Block width w = 6.23 +/- 0.02 cm Block thickness h…

Q: 1. Do a rough-order estimation on how many miles a typical truck driver who drives an 18 wheeler…

A: 91,506 miles per year

Q: An arrow is launched straight up and then falls to the ground. If the arrow is launched 2.00m above…

A: The kinematic equation of motion for vertical constant acceleration is given by Where yo = Initial…

Q: Convert 0.0294 lb/in? to Pa using the following conversion factors (among others): 1) 1 Pa = 1 N/m2,…

A: Pressure (P) = 0.0294 lbin2Conversion factor : 1 Pa = 1 Nm29.807 N = 2.205 lb 1 in = 2.540 cm

Q: 2. In your own words, provide two advantages of using meters as a measurement of length rather than…

A: The two advantage of using meters as a measurement to measure the length instead of using old…

Q: A contractor is painting the ceilings. a Small squre bedroom is being painted, along with a large,…

A: Let us take length of wall of common room as x meter    longer wall(rectangular) as (x+4) m Below is…

Q: •• A single conducting loop of wire has an area of 7.2 × 10-² m² and a resistance of 110 №.…

A: induced current in the loop = I =0.43 AResistance of the loop = R = 110 ohmE= induced voltageThe…

Q: 4. MRI Solenoid The magnetic field produced by an MRI solenoid 2.5 m long and 1.2 m in diameter is…

A: Length of solenoid L = 2.5 m Diameter of the solenoid d = 1.2 m Magnetic field |B| = 1.7 T

Q: In the above figure, the master cylinder has a circular cross section and a radius of 1.000 m. The…

A: We are allowed to give the explanation of first question only which is given below. Please repost…

Q: A proton is acted on by a uniform electric field of magnitude 323 N/C pointing in the negative x…

A: Solution of part (a).We know that a positive charge travels in the direction of electric an…

Q: One carat is equivalent to a mass of 0.200 g. Use the fact that 1 kg (1000 g) has a weight of 2.205…

A: Given, One carat is equivalent to mass = 0.200 g 1 kg (1000g) has weight of 2.205 lb  So, 2496 carat…

Q: The Charge on Adhesive Tape When adhesive tape is pulled from a dispenser, the detached tape…

A: It is given that electrons are transferred to tape that means charge on tape is:…

Q: 1) If a sphere has a volume of 375.6 cm3, what is its diameter in... sphere a) dm b) feet 2) The…

A: (a)The diameter of the sphere is equal to two times the radius of the sphere. The Volume of the…

Q: If we know maximum penetration (depth), we can calculate PRF by: depth (pen) divided by 0.77 77…

A: In ultrasound imaging, the Pulse Repetition Frequency (PRF) is the number of pulses that occur in…

Q: A concave spherical mirror has a radius of curvature of magnitude 16.7 cm. (a) Determine the object…

A: a) It is given that, R=16.7 cmf=R2=8.35 cmm=7.5 cm

Q: Let f(v) be the gas consumption (in liters/km) of a car going at velocity v (in km/hr). In other…

A: f(80) = 0.08f'(80) = 0.0004Here, f(v) be the gas consumption of a car at velocity v

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 –