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- The speed limit on some interstate highways is roughly 100 km/h. (a) What is this in meters per second? (b) How many miles per hour is this?(a) A car speedometer has a 5.0% uncertainty. What is the range of possible speeds when it reads 90 km/h? (b) Convert this range to miles per hour. (1Km=0.6214)A car is traveling at a speed of 33 m/s. (a) What is its speed in kilometers per hour? (b) Is it exceeding the 90 km/h speed limit?
- A car is traveling at a speed of 33 m/s. (a) What is its speed in kilometers per hour? (b) Is it exceeding the 90 km/h speed limit?Tectonic plates are large segments of the Earth's crust that move slowly. Suppose that one such plate has an average speed of 4.0 cm/year. (a) What distance does it move in 1 s at this speed? (b) What is its speed in kilometers per million years?A race car travels 825 km around a circular sprint track of radius 1.313 km. How many times did it go around the track?
- 1. How does a scalar quantity differ from a vector quantity? 2. An airplane travels east at a rate of 800 km/h for 2 h. Which of the following are vectors?a. The travel timeb. The distance traveled in 2 hc. The displacement after 2 h 3. Which pair/s of forces will yield a resultant of 6 N?a. 3 N and 3 Nb. 2 N and 4 Nc. 10 N and -4 Nd. 10 N and 4 Na. You leave your home & drive 45 km in the +y direction for a job interview. They offer you the job so you decide to stop and celebrate with friends on the way home. You leave the interview and drive 22 km in the -y direction. Let your home be your reference point. - What total distance did you drive?(km) - What total distance did you drive? ____km to the a. +y, b. -y, c. +x, d. -x, c. no direction b. You are standing on a circular track that is 400 m long. You begin jogging at the start line and keep jogging until you complete 2 full lap and stop at the same point you started at. - What is the total distance you travel? (m) -What is your final displacement? (m)1. Is it possible that the magnitude of the speed is also the magnitude of the velocity? Explain your answer. 2. A man walked from point A to F following the route in the grid below in 250 seconds. Determine: F B. 0.5 km a. the average speed in m/s b. the magnitude of the displacement c. the magnitude of the average velocity. E. A.
- 1. If the force vector shown below has x, y, andz components of 300 N, 400 N and 800 N, respectively, a. Write it in vector form I. b. Then determine the scalar component of the force in the direction defined by, u= 0.250i+ 0.968jA kangaroo can jump over an object 2.7 m high. a. Calculate its vertical speed when it leaves the ground, in meters per second. b. How many seconds is it in the air?1. Considering a unit vector u4 = A / A, which of the following are properties of u,? (circle all correct responses) a. u, has the same units as A b. ил1 c. u, points in the same direction as A d. uA < A e. u, is unitless 2. Considering two force vectors F1 = Fii+ Fj+ F1,k and F2 = F2i+ Fj + F2,k with their unit vectors ui = F1 / F; = (u1x) i+ (u1) j+ (u12) k and uz = F2 /F2= (u2) i+ (uz) j+(uz:), which of the following are valid calculations for the resultant force FR=F1+ F;? (circle all correct responses) a. FR = (Fix+ F2)i+(Fiy+ F2) j+(Fiz+ F2) k b. FR = (F1 + F:) [(uix+ u2x)i+(uiy + u2) j+ (uiz + u2) k] c. FR = (F? + F?)0S [(u!x+ u2) i+ (uiy + uz) j+ (uiz + u2:) k] d. FR = (F1uix+ Fru2x)i+ (F1u1y+Fruz»)j+(F1u1:+ F2uz)k %3D 3. Consider two vectors A and B with unit vectors u4 = A/ A and ug = B / B and angle between A and B is 0. Which of the following are correct with regard to dot products? (circle all correct responses) a. A-B is a scalar b. A·B is a vector c. If A and B are…