Dynamics Quiz 1 EASY 1. A particle traveling in a straight line starts from rest it has an acceleration of a=B?/3t2+c?t, if B=10m3/2/s³ and c=-2m/2/s³/2_find the velocity and total distance traveled at t=4sec
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- The velocity of a particle traveling along a straight line is v = (8t ^ 2 - 9t) * f * t / m * i * n , where t is in mins. s = 6m when t = 0min , determine the position of the particle when (a) t = 0.6min and (b) t = 0.2min .A 500 N block is resting on an inclined plane and is subjected to a constant force of 600N acting parallel to the inclined plane. After the block has moved 3 m from rest along the inclined plane the force 600N is removed. The inclined plane has a slope of three vertical to four horizontal. Coefficient of friction is 0.20 a. Which is the following gives the distance that the black will move further along the inclined plane until it will stop? b. Which of the following gives the velocity of the block when this for 600 Newton was removed? c. Which of the following gives the velocity of the block when it returns to its initial position?The position coordinate of a particle which is confined to move along a straight line is given by s = 2t³ - 24t + 6, where s is measured in meters from a convenient origin and t is in seconds. Determine (a) the time required for the particle to reach a velocity of 72 m/s from its initial condition at t = 0
- Situation 2: The displacement (in meter) of a particle moving along x - axis is givenby x=At^2 + B , where A = 2m and B = 3m. Calculate average velocity between t =3sand t = 5s.Situation 2: Calculate instantaneous velocity at t = 5sSituation 2: Calculate instantaneous acceleration.1. - the velocity of particle at t = 9 seconds: a. 122 b. 747 c. 167 d. none e. 898 - the acceleration of the particle at t = 9 seconds: a.none b. 42 c. 46 d. 44 e. 48 - the total displacement after 6 seconds: a. -78 b. 100 c. 78 d. 102 e. none - the average speed from t = 0 to t = 6 seconds: a. 20 b. 17 c. -17 d. none e. -13 - the average velocity from t = 0 to t = 6 seconds: a. 20 b. none c. -13 d. 17 e. 13The motion of a particle along a straight line is defined by s=⅓t³+6t² feet. Find the average acceleration during the fourth second and when the particle reverses its direction, what is its acceleration? In addition, what is the Velocity during the fourth second.
- A particle traveling in a straight line starts from rest it has an acceleration of a=B^3t^2+ct, if B=8m/s^4 and c=-2m/s^3, Find the velocity and total distance traveled at t=3secAt the instant shown, cars A and B are traveling with speeds of 18 m/s and 12 m/s respectively. Also, at this instant, A has decrease in speed of 2 m/s2, and B has an increase of 3 m/s2. Determine the velocity and acceleration of B with respect to A. It must come up with this answers, vB/A = 9.69 m/s, direction of vB/A = 21.7 degrees CCW from positive x-axis, aB/A =5.32 m/s2, direction of aB/A = 62.7 degrees CCW from negative x-axis).The angular velocity of rod OB varies as tetha = 8 - 12t^2 rad/s where t is in seconds. Compute the magnitude of the acceleration of point B at (a) t = 0; and (b) t= 1.0s.
- a cylindrical tank has a diameter of 1.4m. and a total weight of 1.8 m. it contains water to a depth 2/3 of its total height. what will be the required angular velocity (in rad/s) such that half of its content will be spilled out? a) 9,80 rad/s b) 14.00 rad/s c) 10.40 rad/s d) 8.09 rad/sA volleyball player throws the ball with an initial velocity that makes an angle ?= 35º with the horizontal. Determine: The magnitude of minimum initial velocity with which the ball must be thrown in order to pass the net of height h. More data: h= 2.40 m Y= 2.15 m L= 12 mThe 233000-lb space-shuttle orbiter touches down at about 237 mi/hr. At 208 mi/hr its drag parachute deploys. At 45 mi/hr, the chute is jettisoned from the orbiter. If the deceleration in feet per second squared during the time that the chute is deployed is -0.000170v2 (speed v in feet per second), determine the corresponding distance s traveled by the orbiter. Assume no braking from its wheel brakes.