QI : A particle travels along a straight line with a constant acceleration. When (s 5 ft), (v 4 ft/s) and when ( s 12 ft ), (v 10 ft/s). Determine the velocity as a function of position, and find the velocity at ( s 8 ft).
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- v (m/s) 4. From experimental data, the motion of the jet plane while travelling along a runway is defined by v-t graph as shown in Figure 4.3. Calculate the velocity V1 if the total distance travelled is 2800 m. 10 s 40 s Figure 4.3v (m/s) 4. From experimental data, the motion of the jet plane while travelling along a runway is defined by v-t graph as shown in Figure 4.3. Calculate the velocity Vị if the total (s) distance travelled is 2800 m. 10s 40 s Figure 4.3Q1. A driver enters a curved car at 72 km/h, slows down, causing the speed to drop at a steady rate of 4.5 km/h every second. If the radius of curvature is 16.7 m. Find the acceleration of the car after 4 seconds from the driver starting to slow down.
- Given: A boat travels around a circular path, p= 40 m, at a speed that increases with time, v = (0.0625 t2) m/s. v30.06252 40 m Find: The magnitudes of the boat's velocity and acceleration at the instant t = 10 s.A train started moving from rest with a constant acceleration, and at one time it was traveling at a speed of sec/m30 and after a distance of 160m it was traveling at a speed of sec/m50. Find: 1: the wheel. 2: The time it takes to reach its velocity sec/m30.4. A girl tosses a ball at an initial velocity of VA = 8 ft/s at an angle of 0 = 25°. A boy catches the ball at Point B, which is at the same height as Point A. Answer the following questions. a. What is the initial velocity of the ball in A = (VA) x² + (VA) format? Show your work. Velocity in A = (VA) x + (VA)yj format C. b. Where is the ball when it reaches its maximum height? Justify your response by describing where the ball is relative to the position of Points A & B. No math is required. Units What is known about the x- and y-components of velocity and acceleration of the ball at the maximum height? No math is required. d. If we assume that Points A & B are both 3 ft above the ground, what is the maximum total height of the ball? Show your work. Magnitude rounded to 3 sig. fig. Units
- (d) The velocity versus position graph of a motorcycle is given in Figure 1.3 below. Determine its acceleration at s=150 ft (4 Marks) v (ft/s) 50 10 200 400 2 -s (ft)Find the initial velocity of car if final velocity is 100 m/s, acceleration 20 m/s2 time 3 sA particle travels along the circular curve from A to B in 1 s. The particle takes 3 s to go from A to C. r C В A Values for the figure are given in the following table. Note the figure may not be to scale. Variable Value 25 m 30 degrees 02 10 degrees a. Write position vector r B as a cartesian vector. b. Write position vector rg as a cartesian vector. c. Find the average velocity V avg as a cartesian vector.
- 3) Cullin is flying his private jet at a constant speed of 750 km/h while David is flying his helicopter due north. The flight attendant on Cullin's jet begins walking towards the back of the airplane as a constant speed of 4 m/s relative to the airplane. If the flight attendant observes David moving directly westward at 38 m/s, what is the velocity of the helicopter in m/s? Hint: You will need to find theta; don't forget about your ability to use dot products to simplify your equations. [Ans. to Check: VB=200.76 m/s] VB+ Ꮎ VC A CA car starts from rest and reaches a speed of 45ft/s in 20s. The acceleration increases uniformly from zero for the first 10s, after which it remains constant. a. Compute the acceleration at t=10s, in ft/s^2. b. Compute the distance travelled in 20s, unit in ftA car moves along a straight line. The car starts to move from Thi- Qar toward Baghdad with a constant velocity of 120 km/hr, compute the following: 1- If you know the car needs 3 hrs to reach out to Baghdad, What is the total displacement between Thi-Qar and Baghdad? 2- what is the value of the constant acceleration?