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- You are an observer on the ground. (a) Draw two motion diagrams representingthe motions of two runners moving at the same constant speeds in oppositedirections toward you. Runner 1, coming from the east, reaches you in 5 s, andrunner 2 reaches you in 3 s. (b) draw a motion diagram for runner 2 as seen byrunner 1. Explain your work.The equation of motion of a particle, which started at t = 0, is given by x=5sin(20t+π/3), where x is in centimeter and t in second. a. When does the particle first come to rest? b. When does the particle first have zero acceleration? c. When does the particle first have maximum speed?A street ball is dropped onto a hard floor from a height of 16.1 m and rebounds to a height of 1.34 m. a. Calculate its acceleration during contact with the floor if that contact lasts 0.0900 ms. b. What distance did the ball compress during its collision with the floor, assuming the floor is absolutely rigid.
- A fireworks shell is accelerated from rest to a velocity of 65.0 m/s over a distance of 0.250 m. (a) Calculate the acceleration. (b) How long did theacceleration last?A particle moves accordingly to a law of motion s = f(t) = t^2 e^−t, t ≥ 0, where t is measured in seconds and s in feet. a. When is the particle speeding up? b. When is the particle slowing down? Please write clearly and legiblyConsider the following descriptions of the vertical motion of an object subject only to the acceleration due to gravity. Begin with the acceleration equation a(t) = v'(1) = g, where g= -9.8 m/s?. a. Find the velocity of the object for all relevant times. b. Find the position of the object for all relevant times. c. Find the time when the object reaches its highest point. What is the height? d. Find the time when the object strikes the ground. A softball is popped up vertically (from the ground) with a velocity of 30 m/s.
- One fine day on an unused dirport runway, a high-end sports car conducted a 0 to 400 km/h performance test. Its velocity changed according to the following function v = a(1 – e " 16. where. 128.1 m/s b = 13.31 s Answer these three related questions. d. How long did it take the car to reach 400 km/h (111.111 m/s)? b. What was its average acceleration during the test? What is the car s theoretical top speed? с.(the complete question is in the picture) An object moves in a straight line according to the following position function,x(t) = −14 + 3t in meters, where t denotes elapsed time. If t has changed from 0 [s] to7 [s], what is the average velocity of the object?A. ZeroB. 1 [m/s] towards +x directionC. 3 [m/s] towards −x directionD. 3 [m/s] towards +x directionA rifle has a barrel length L=70 cm as in the figure below. If the rifle fires a bullet with a speed of 664 m/s, find the time ( in units of milliseconds) the bullet spends inside the barrel. Select one: A. 4.2 ms OB. 2.1 ms OC. 2.7 ms OD. 2.4 ms OE. 1.8 ms
- The velocity-time graph that describes the velocity of an object with time is given as in the figure below. if the values of a= 98.5, b=124.6 and c=57, Find the displacement made by the object in the first hour. v(km/h) b. a t(h) 0.5 1.0 1.5 2.0 Select one: A. 118.1 OB. 175.1 OC 398.4 OD. 139.6 OE 142.7 choiceA weight is oscillating up and down on spring. It's displacement from rest is given by the function d(t)=sin6t-4cos6t, where d is in centimetres and t is time in seconds. a. what is the rate of change of the displacement after 1s b. Determine the maximum and minimum displacements and when they first occur.tileICA/Angely/Desitopartend-Surmimitive-Pidt O - + ? Solve the following kinematics problem. Draw the diagram and detail your salution? 1. Draw the velocity and acceleration graph of the following the displacement function in radian if 0sts2 if 2SEE MORE QUESTIONS