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- A skier jumps off the ramp at point A and lands on the ground at point B. di d2 Values for the figure are given in the following table. Note the figure may not be to scale. TE Variable Value di 8 m d2 150 m 40 degrees a. Determine the initial magnitude of the velocity/speed of the skier, Vo. b. Determine the time of flight of the skier, t. 3.In the feasibility test, the flight movement of a drone is known to have a position function height h (t) = t2 - t - 2, where t is in minutes and height h is in meters. Determine the average speed of the drone increments at intervals of 3 minutes to 6 minutes and then determine the instantaneous velocity exactly equal to the average velocity.The ball is kicked from a point as shown in the figure with the initial velocity VA=8 m/s. is the maximum height reached by the ball in meters. 8 m/s 30 O a. 5.2 O b. 0.81 O c. 0.2 O d. 4.2
- Q1: During a test a rocket travels up ward at 75m/s and when it is 40m from the ground its engine fails. Determine the maximum height SB reached by the rocket and its speed just before it hits the ground while in motion the rocket it subjected to a constant down ward acceleration of 9.81m/s due to gravity? VB=0 VA-75M/S AA SA-40MThe vertical motion of mass A is defined by the relation x = cos(10t) - 0.1sin(10t), where x and tare expressed in mm and seconds, respectively. Consider t= 0.45 s. A Determine the position, velocity, and acceleration of A. (You must provide an answer before moving to the next part.) The position, velocity, and acceleration of A when t= 0.45 s are - mm/s, and mm/s², respectively. mm,A body moves along a linear path and its rate of change of velocity varies with time and is written as a=2-3t, where t is the time in second. After 5 second, from start of observation its velocity is determined to be 20 m/s. After 10 second from start of observation, the body is at 85 m far from the origin. Determine the following:a. Rate of change of velocity and velocity at the start of motion.b. Distance from the origin at the start of observationc. Time after start of observation in which the velocity becomes zero.
- The motion of a particle is defined by the function x = at3 - bt2 - ct + d where x is in centimeters and t is in seconds When is the particle at rest if a = 1.3, b = 3.5, c = 8.3, and d = 5.2?Question 2: For a 1-kg ball being pushed by a rod in the vertical path with equation r = 0.50, where is in radian and r is in meter. At the instant shown, if it has = 2 rad/s and = 4 rad/s², determine its acceleration. (a) 1.14 m/s² (b) 7.05 m/s² (c) 7.14 m/s²2 (d) 7.23 m/s² r II π 2The main elevator A of the CN Tower in Toronto rises about 350 m and for most of its run has a con- stant speed of 22 km/h. Assume that both the accel- eration and deceleration have a constant magnitude of g and determine the time durationt of the ele- vator run. 350 m A
- F(t) K: 3. A particle with a mass of 3 kg has velocity = 5î + 7ĵ- 3km/s. The total force acting on the particle is given by F = 3Aî - 2Aĵ + 4Ak N, where A is an unknown constant. Determine the value of A such that the x-component of the particle's velocity is 10 m/s after the force is applied for 2 seconds. Also determine the particle's velocity vector at this time.Q5) The ball P starts from rest at point A when the time t-0. It moves at a constant acceleration of 10 m/s². Calculate the total acceleration at point C. Also calcuate the time to reach point C. wwwwww V_V₂ + axt V=0+10 (0) V=0 Assso a -3 m MAMATAY 3.5mAn 12.0-kg monkey is climbing down down the rope suspended from point D. At the instant shown, the monkey is descending the rope at a speed of 1.00 m/s and with an acceleration of 1.2 m/s2 (downward). Calculate the magnitude of the tension Tin the rope at Din Newtons to 1 decimal place. D A