When a car is moving at x miles per hour and the driver decides to slam on the brakes, the car will travel x + 1/20 x2 feet. (The general formula is f (x) = ax + bx2, where the constant a depends on the driver’s reaction time and theconstant b depends on the weight of the car and the type of tires.) If a car travels 175 feet after the driver decides to stop, how fast was the car moving? (Source: Applying Mathematics: A Course in Mathematical Modelling.)

Q: A space probe on the surface of Mars sends a radio signal back to the Earth, a distance of…

A: Given data: The distance between Mars and Earth d = 7.86×107 km speed of light v =3×108 m/s

Q: Police use the formula: V20L to estimate the speed of a car, v, in miles per hour, based on the…

A: Given: The Length of skid mark L = 158 ft. The velocity formula is given as, v=20L

Q: A bicyclist in the Tour de France has a speed of 29.0 miles per hour (mi/h) on a flat section of the…

A: Speed value, v = 29.0 mi/h

Q: An object's position as a func of time is given by ; x(t) = - 200 (( t + 1 ) ^ - 1) + 6t^2.  (Assume…

A:

Q: Figure (1) represents part of the performance data of a robot owned by a physics student. X-T graph…

A: NOTE- As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly repost…

Q: The men's world record for swimming 1500.0 m in a long course pool (as of 2007) is 14 min 34.56 s.…

A:

Q: You are exploring a planet and drop a small rock from the edge of a cliff. In coordinates where the…

A: we have to understand the graph.

Q: The displacement (in centimeters) of a particle moving back and forth along a straight line is given…

A:

Q: On the v(t) graph, what does the y-intercept represent?

A: A velocity-time graph will show the speed and direction of an object in motion over a specified…

Q: Why is it km and not meters, if c = 3x10^8 m and G has meter in the constant

A:

Q: A car accelerates with the acceleration a(s) = k · s^n m/s^2, where s is distance in meters, k =…

A: Given Acceleration a = ksn k = 1.190 n = 0.731 final speed v = 1.75 m/s

Q: A creature moves at a speed of 5 furlong per fortnight. Given that 1 furlong = 220 yards and 1…

A: Given: Distance, d = 5 furlong Time, t=1 fortnight   To determine the speed of the creature in m/s.

Q: A car is going 16 m/s for 12 s. Draw an accurate graph showing the distance versus time for the car.…

A: A car is going 16 m/s for the 12 s

Q: A world-class tennis player can serve a tennis ball at 150 mi/hmi/h (about 67 m/sm/s ). The length…

A:

Q: Abdul, while driving to school. computes the average for his trip to be 20km/h. On his return trip…

A:

Q: You determine the average speed for your walking pace. If the measured distance of your trip is…

A: Given value--- distance = 100 +/- 0.5 . time = 60 +/- 0.3 . We have to find--- dv/v ?

Q: Suppose your hair grows at the rate of 1/32 inch per day. Find the rate at which it grows in…

A: Given:  1/32 inch per day

Q: After an​ accident, police can estimate the speed that a car was traveling by measuring its skid…

A:

Q: Your car travels north along the highway at a constant speed of 65 mph for 30 minutes. Compute the…

A: Given: Initial velocity (u) = 65 mph Time (t) = 30 minutes = 30/60 = 0.5 hours

Q: A car starting from rest is accelerated for 1 m/s2 for (5+5) seconds. It continues at constant…

A:

Q: Complete the following table and answer the questions given below. height h (cm) Time t, (s) Time tz…

A:

Q: A high-performance sports car can go from 0 to 100 mph in 7.0 s. (Assume the car travels in the…

A: Given: Initial velocity (u) = 0 mph. = 0 m/s. Final velocity (v) = 100 mph. = 44.704 m/s. Time taken…

Q: Sleds propelled by rockets are used to study how humans react to sudden acceleration. If a…

A: Initial velocity = 0 m/s Final velocity = 442.82 m/s  Time taken = 1.71 seconds

Q: A ball rolls off a table 100 cm high with a speed of 2.5 m/s. How far will it travel horizontally…

A: Given Horizontal velocity = ux = 2.5 m/s IInitial vertical velocity = uy = 0 m/s Height = h = 100 cm…

Q: A woman starts from her home at 9.00 am, walks with a speed of 7 km h-1 on a straight road up to her…

A: Given,Distance between home and office, d=3.5kmSpeed of woman while walking to office, v1 =…

Q: A long-distance runner kept up a pace of 8.0 minutes per 1 km for a total of 6530 seconds. How many…

A: A long-distance runner kept up a pace of 8.0 minutes per 1 km for a total of 6530 seconds. How many…

Q: Starting from rest, a bus leaves a gas station with a constant acceleration of 2 m/s^2 until it…

A:

Q: person running through the forest with equation: y(x, t) = (1.1 m)cos(3.1x – 7.1t) for which x has…

A:

Q: A football coach walks 18 meters westward, then 12 meters eastward, then 28 meters westward, and…

A: Displacement d is the shortest distance between the starting and endpoints of a journey. Whereas…

Q: Tom Cogwagee Longboat, of the Six Nations of the Grand River, is one of Ontario's best known…

A: Given: Distance=39.2 kmTime=2hours, 24min, 24sec

Q: What is the slope for the linear function modeling velocity as a function of time, V=,  and what…

A: Given data: The initial velocity is: u = 0 The slope of linear function modeling velocity is: dv/dt…

Q: Starting from the first floor, a lift stops at floors 3, 4,3, 2, 3, and 4 before returning to the…

A:

Q: Cyclists in the United Kingdom reach speeds of 34.0 miles per hour (mi/h) on flat sections of the…

A: Given that-V= 34 miles/ hour1 mile= 1.60934 kmthen, v= 34×1.60934 km=54.7 km/hr

Q: Suppose your hair grows at the rate of 1/34 inch per day. Find the rate at which it grows in…

A: Given Data: The rate of hair growth is: r=1/34 inch/day

Q: A piece of wood moves at a velocity (measured in millimeters per year) of v(1) = r² – 3t – 4 where 1…

A:

Q: If an object is shot upward with an initial velocity, v 0, in feet per second (ft/s), the velocity,…

A:

Q: An automobile travels along a rectilinear path with an initial speed of 43.5 miles per hour. If it…

A: Given,  Intial velocity (U)  = 43.5 miles per hour Acceleration (A) = 3728 miles/h2 Final velocity…

Q: You are driving 65.0 miles/hour and you see a police car, so you slow down to 42.5 miles/hour. It…

A: Initial velocity, u = 65.0 miles/hour = 29.057 m/sFinal velocity, v = 42.5 miles/hr = 18.99 m/sTime…

Q: While driving in an exotic foreign land you see a speed limit sign on a highway that reads 180,000…

A:

Q: An object's velocity as a function of time in one dimension is given by the expression; v(t) = 3.8t…

A: Object's velocity as a function of time is Find:Time at which velocity is

Q: An airplane starts from 4 m/s and accelerates down a runway at 3 m/s2 and covers 386 m before it…

A:

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 –