1 In many fluids, the flow velocity is observed to vary linearly from zero at the...
4. A particle P travels along a straight line so that it's distance s m, from a fixed point O on the line is given by s-3i where t is the time in seconds after passing O. i Find the velocity and speed of the particle P after 4 seconds. i) Find out the distance of turning points from the point O i) Find the acceleration after 3 seconds. (iv) Calculate the total distance traveled during first 5 seconds. (10...
5. Two forces Fi 2i+3j-4 k N and F2+2j +6 k N are acting on a particle simultaneously. Find out the (10 pts.) resultant force. Calculate the work done if the displacement of the particle be d-3 i + 2 j-k m.
1. (a) Figur1 shows the forces acting on a particle that falls from rest under gravity and is subject to a retarding force proportional to its velocity, bv Figure 1 mg (0) Show that the velocity, v, as a function of time,t,can be written as 1-e m 151 (i) Determine an expression for the particle's terminal velocity. 2] 151 Find the position as a function of time. (b) The terminal velocity of the particle is 50 ms1. Find (c) (i)...
the velocity of a particle is given by v=[16t^2i+4t^3j +(5t+2)k]m/s, where t is in seconds. If the particle is at the origin when t=0, determine the magnitude of the particle's acceleration when t=2s. What is the x,y,z coordinate position of the particle at this instant.
n unrs S hown on this question sheet. Starting from the origin, the velocity of a particle in rectilinear motion is given as Vo) 2t-14t + 20 m/s, with t in seconds, for the first 10 seconds. Plot the particle's acceleration, velocity, position, and total distance travelled as functions of time in the first 10 seconds.
3. A 180-Ib person jumps out of an airplane with initial upward velocity of 5 ft/s at a height of 3000 ft (assuming the air resistance is proportional to its falling speed). The air resists the body's motion with a force of 2 lb for each ft/s of speed. Assuming the constant gravity is 32 ft/s2. 1. find its velocity v = v(t) 2. find its terminal velocity 3. find the distance of falling x = x(t) 4. find the...
1.) A car starting from rest is travelling with a constant acceleration of 30 m/s2. Find its velocity after 5 seconds. Find its position after 5 seconds. Find the time it would reach 600 m/s Find the distance it has traveled upon reaching a speed of 600 m/s 2.) A particle travels from 100 m/s to 1000 m/s. Find its constant acceleration if this was done in 5 seconds. What is the distance traveled during the 5 seconds interval? Find...
12-10. Car A starts from rest at t-0 and travels along a straight road with a constant acceleration of 3 m/s until it reaches a speed of 27 m/s. Afterwards it maintains this speed. Also, when-0, car B located 2000 m down the road is traveling towards A at a constant speed of 20 m/s. Determine the distance travelled by car A when they pass each other. 20 m/s 2000 m 12-11. A particle travels along a straight line with...
QUESTION6 Traveling with an initial speed of vo 53 km/h, a car accelerates at 3,259 km/h2 along a straight road. What would be the distance traveled (in meters) to reach a final speed for the car to reach a final speed v 106 km hr? QUESTION7 The velocity of a particle is v = 2.1/ + (3-20 j mis, where t is in seconds. Ifrs 0 when t = o, determine the displacement of the particle in the x direction...
A car accelerates from rest at S m/s for 5 seconds. It moves with a constant velocity for 15 seconds, and then decelerates at 5 m/s to come to rest in 5 seconds. The entire journey takes 25 seconds. Plot the velocity-time graph of the motion AND determine the total distance the car travelled. (10 pts.) 4.