A point mass moving on a vertical line has an acceleration given by the equation a = 10t – 3. At t = 0, the displacement is found to be s = - 5m. And after at t = 7s, the displacement is s = 12m. Derive the equation of its motion. Use the boundary conditions to solve for the constants of integration. C2 eqn.

A point mass moving on a vertical line has an acceleration given by the equation a = 10t – 3. At t = 0, the displacement is found to be s = - 5m. And after at t = 7s, the displacement is s = 12m. Derive the equation of its motion. Use the boundary conditions to solve for the constants of integration. C2 eqn.

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter3: Motion Along A Straight Line

Section: Chapter Questions

Problem 55P: Blood is accelerated from rest to 30.0 cm/s in a distance of 1.80 cm left ventricle of the heart....

See similar textbooks

Similar questions

(a) A car speedometer has a 5% uncertainty. What is the range of possible speeds when it reads 90 km/h? (b) Convert this range to miles per how. Note 1 km = 0.6214 mi.
A landscape architect is planning an artificial waterfall in a city park. Water flowing at 1.70 m/s will leave the end of a horizontal channel at the top of a vertical wall h = 2.35 m high, and from there it will fall into a pool (Fig. P3.42). (a) Will the space behind the waterfall be wide enough for a pedestrian walkway? (b) To sell her plan to the city council, the architect wants to build a model to standard scale, which is one-twelfth actual size. How fast should the water flow in the channel in the model? Figure P3.42
Blood is accelerated from rest to 30.0 cm/s in a distance of 1.80 cm left ventricle of the heart. (a) Make a sketch of the situation. (b) List the knowns in this problem. (c) How long does the acceleration take? To solve this part, first identify the unknown, then discuss how you chose the appropriate equation to solve for it. After choosing the equation show your steps in solving fir the unknown, checking your units. (d) Is the answer reasonable when compared with the time for a heartbeat?
A ball is thrown at an initial height of 50 feet at an initial velocity of 65 feet/second at an angle of 75 degrees. Given the parametric equations y - 16t2 + Vo Sin(0)t + ho and x = Vo. Cos(0)t. When doing calculations, carry 5 digits of accuracy, so your round off does not build up. a. What is the ball's height in 2 seconds? 111.57035 v o feet. b. When will the object hit the ground? 4.60298 v o seconds. c. How far horizontally will the ball be when it hits the ground? 77.43702 v o feet. d. When will the ball be at its maximum height? 1.96204 o seconds. e. What is the ball's maximum height? 4.61479 x feet. feet f. How far horizontally will the ball be when it reaches its maximum height? 77.63571 ×
b. Prove that, the range, R the time of flight, T and the Maximum height, H by a projectile are respectively given by; vỷ sin² e R = (5/g) sin20 , T = (2v,sin®), and H = 2g
The acceleration due to gravity is -9.8 meters per second squared. An object is thrown upward from a 100-meter tower with a velocity of 49 meter per second. a. Find the velocity function. b. Find the position function
A particle is projected at an angle of 60 degree and a velocity of 70 m/s and taking gravity as 10m/s^2? a. Compute the maximum height of a particle. b. find the equation of trajectory. c. fnd the height of the particle when the horizontal distance is 70 m. h. Find the horizontal distance distance when the height of the particle is 100m.
An object is released from rest at a height of h. During the final second of its fall, it traverses a distance of 38m. Determine h. I would like to know the solution but also maybe an explanation on how I would know what process to take. For the last second, I was able to find that final vf = 38m/s. That is vf = deltax/deltat, or 38m/1s. I plugged it in to vf2 = vo2 + 2a(deltax), since I think that vf shouldn't change for h, but I got the wrong answer. Please explain.
ea curved path particle moving alenge a has it's parametric equation : - 3+ ,Y=4C05 3t,2=5 siu 2t (a find te velocity at eny time 9. ) fin d th velocity at t=0
The point Qis moving an a circular path of radius r, which is centered at the fixed point O as shown in Figure 2. Use the nofon of the fime derivatve of a vector bo determine expressions for the velocity and accelerafion vecbrs of a particle whose moton is circular. path of O Figure 2: Point Q moving on a circle centered at 0.
Find the following for path A in the Figure, measuring the displacementsfrom the back of the arrow, indicated by a dot, to the arrow's head. Round to the nearest integer. a. The distance traveled in meters. b. The magnitude of the displacement from start to finish in meters.
Find the magnitude of OB .d3 for the closed path (b )shown in the figure: 05 A 1A b ® 2 A Select one: а. 3Ho (T.m) b. 0 c. 4 Ho (T.m) d. -1Ho(T.m)