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Displacement, Velocity and Acceleration
In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.
Linear Displacement
The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.
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- You are driving along at a constatnt speed of 26 m/s and you look down at your phone to read a text message for 2.5 seconds. How many meters does the car travel while you are not looking?The kinematic equations can describe phenomena other thanmotion through space and time. Suppose x represents a person’sbank account balance. The units of x would be dollars($), and velocity v would give the rate at which the balancechanges (in units of, for example, $/month). Accelerationwould give the rate at which v changes. Suppose a personbegins with ten thousand dollars in the bank. Initial moneymanagement leads to no net change in the account balance sothat v0 =0. Unfortunately, management worsens over time sothat a = -2.5 x 102 $/month2. Assuming a is constant, findthe amount of time in months until the bank account is empty.Physics 30S Science & Technology 2240 Grant Ave. Winnipeg. MB R2C IL6 Shaflesbury High School Motion: Speed/Velocity & Acceleration Ad V = At a = Average Velocity, 1. A man jogs 5.0 km (5000 m) in 27 minutes. a) What is the time interval (At) in seconds? b) Calculate his average speed in metres per second (m/s). Average Acceleration, At 2. An object has a position of 13 metres west. 5.0 seconds later it's at 7 metres east. a) What was the initial position? b) What was the change of position or displacement (Ad)? c) What was the average velocity? 3. A world class sprinter runs 100.0 m in 8.90 s. What was his average speed? 4. A hiker gets lost in a forest. He walks half-way around a circle with a radius of 2.1 km in 2.0 hours. a) What distance did he walk? b) What was his average speed? c) What was his displacement? d) What was his average velocity? WE S C-2rr 5. A car has an average highway speed of 90 km/h or 25 m/s. At this speed; how long will it take to drive to Kenora which is 190…
- Tutorial Exercise A soccer ball is kicked from 2 feet above the ground. The height, h, in feet of the ball after t seconds is given by the function h = -16t2 + 64t + 2. (a) Graph the function. (b) At what time(s) is the height of the ball 50 feet? Step 1 Create a table of values for the function. [AlgUns.0386] The height function is h = -16t2 + 64t + 2. Create a table of values for the ordered pairs of the form (t, h). th = -16t² + 64t + 2 %3D 1 2 4 Submit Skip (you cannot come back)Dwight decides to race around the perimeter of the Scranton business parkin an effort to beat another employee’s best running time. Assuming heruns with an average velocity of 10 ft/s, and he completes 4 laps in 5minutes,a. What is the perimeter of the business park in feet?b. In meters?( 1 ft = 0.3048 m )Caleb left home and traveled toward the city A at an average speed of 57.9 km/h. Some time later, Kim left traveling in the opposite direction with an average speed of 46 km/h. After Caleb has traveled for 1.24 hours they were 117 km apart. Find the number of minutes Kim traveled. Round off only on the final answer expressed in three decimal places. PLEASE SHOW YOUR COMPLETE AND CORRECT SOLUTION. ASAP! Thank you.
- ven city Time (s) 0.5 0.0 -0.5 0.2 0.4 0.6 0.8 1.0 1.2 1.4 -1.0+ E-1.5+ 6. Interpreting Data Figure 1-17 is a posi- tion-time graph of the motion of a basketball thrown straight up. Use the graph to sketch the path of the basketball and t o sketch a velocity- time graph of the basketball's motion. a. Is the velocity of the basketball constant? b. Is the acceleration of the basketball constant? c. What is the initial velocity of the basketball? -2.0 -2.5 -3.0 -3.5 -4.0 -4.5 -5.0 -5.5 Figure 1-17 ter 1 Position (m)Please answer the following question(s): 1. The speed of a boat in still water is vá. A river flows with a speed of v₁. The boat travels distance of 19 miles downstream in a river in 1 hour. However, the return journey takes 2 hours. Calculate the vand v₁. Hint: Velocity=displacement/time. Displacement can be positive of neagtive depending on the direction. You will first need to set up the equations by taking into account the resultant velocity of the boat in flowing water. Consider the direction the river is flowing to be positive. Set up two equations, one for the downstream journey and one for the upstream journey, in terms of "v" and "v": Do v" and "v, add or substract downstream to give the resultant downstream velocity? Do v" and "v, add or substract upstream togive the resultant upstream velocity? Use the upstream direction as negative. The resultant upstream velocity should be negative. vb vb Downstream positive Vr Upstream negative Vr. Distance and Time Anthony leaves Kingstown at 2:00 p.m.and drives to Queensville, 160 mi distant, at 45 mi/h. At2:15 p.m. Helen leaves Queensville and drives to Kingstownat 40 mi/h. At what time do they pass each other on theroad?
- Question 4: A car moves with a constant accelaration of "a" from the initial values of t=0s, xo (position) and V. (velocity). The equation of motions define as followings. Please draw the graphs of displacement, velocity and accelaration changes by time. 9 = 0, + at; x = x, + 0,t +at?94 in x 114 in (24 cm x 29 cm) with Prongs EAR -rocket Portfolio Stenes, inc Distributed 3. A ball is thrown straight up with an initial velocity of 128 ft/sec., so that its height 844106 031076 (in feet) after t seconds is given by s(1) = -16t2 +128 A. What is the average velocity of the ball over the time intervals? a. [2, 3] b. [2, 2.5] c. [2. 2.1] B. What is the instantaneous velocity at time t 2? C. What is the instantaneous velocity at time t-5? Is the ball rising or falling? D. When will the ball hit the ground? An object is dropped from a certain height. It is known that it will fall a distance s, inPart 1: A motorist traveling at 17 m per s encounters a deer in the road 48 m ahead. If the maximum acceleration the vehicle's brakes are capable of is -5 m per s2 what is the maximum reaction time of the motorist that will allow her or him to avoid hitting the deer? Answer in units of s. Part 2: If his or her reaction time is 1.29353s, how fast will (s) he be traveling when(s)he reaches the deer? Answer in units of m per s.