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A telemetry system is used to quantify kinematic values of a ski jumper immediately before she leaves the ramp. According to the system
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Vector Mechanics For Engineers
- A girl operates a radio-controlled model car in a vacant parking lot. The girl’s position is at the origin of the xy coordinate axes, and the surface of the parking lot lies in the x-y plane. She drives the car in a straight line so that the x coordinate is defined by the relation x(t) = 0.5t3 - 3t2 + 3t2 + 3t + 2, where x and t are expressed in meters and seconds, respectively. Determine (a) when the velocity is zero, (b) the position and total distance travelled when the acceleration is zero.arrow_forwardFor a production shoot, camera A travels next to car B at the same velocity v=30 mph on a straight road. Car B then enters a curve without change in speed while camera A continues along a staight path and stays due west of car B so that car B always appears to be traveling due east from camera A. (The value between r and -x is theta=50 degrees) -What is the difference in speed between camera A and car B? -What is the speed of car B relative to camera A?arrow_forwardQuestion: At the instant shown car A is traveling with a velocity of 30 m/s and has an acceleration of 2 m/s^2 along the highway. At the same instant, B is traveling on the trumpet interchange curve with a speed of 15 m/s, which is decreasing at 0.8 m/s^2. (Figure 1) Part A: Determine the direction of the relative velocity of B with respect to A at this instant. Express your answer to three significant figures and include the appropriate units Part B: Determine the magnitude of the relative velocity of B with respect to A at this instant. Express your answer to three significant figures and include the appropriate units. Part C: Determine the direction of the relative acceleration of B with respect to A at this instant. Express your answer to three significant figures and include the appropriate units. Part D: Determine the magnitude of the relative acceleration of B with respect to A at this instant. Express your answer to three significant figures and include the…arrow_forward
- The velocity of a particle which moves along the s-axis is given by v = 17 + 2t7/6 where t is in seconds and v is in meters per second. Evaluate the displacement s, velocity v, and acceleration a when t = 5.1 s. The particle is at the origin s = 0 when t = 0.arrow_forward6. The speed of a particle moving in a circle with radius 2.0 m increases its speed constantly at a rate of 4.4 m / s2. At an instant when the magnitude of the total acceleration is 6.0 m / s2, what is the velocity of the particle? Answers: a) 3.9 m/s b) 2.9 m/s c) 3.5 m/s d) 3.0 m/s e) 1.4 m/sarrow_forwardA particle travels along a straight line with a velocity v = (12 – 3t^2) m/s, where t is in seconds. When t = 1 s, the particle is located 10 m to the left of the origin. Determine the the displacement from t = 0 to t = 10 s. A. -808 m B. -880 m C. 88 marrow_forward
- Shore-based radar indicates that a ferry leaves its slip with a velocity v= 18 km/h while instruments aboard the ferry indicate a speed of 18.4 km/h and a heading of 30° west of south relative to the river. Determine the velocity of the river.arrow_forwardThe particle P moves along the parbolic surface with equation y = 4x^2. When x = 0.2m, the particle speed is 5m/s. For this instant determine the corresponding values of r, dr, theta, and d(theta). Both x and y are in meters.arrow_forwardA snowboarder starts from rest at the top of a double black diamond hill. As she rides down the slope, GPS coordinates are used to determine her displacement as a function of time: x = 0.5t^3 + t^2 + 2t, where x and t are expressed in feet and seconds, respectively. x is measured along the surface of the hill. Determine the position, velocity, and acceleration of the boarder when t = 5 seconds.arrow_forward
- The A-T Curve For A Particle Having A Rectilinear Motion Is Shown In The Figure. At T=0, The Velocity Is 10ft Per Sec. draw v-t and s-t curves, specifying: v5, v8, v10, s5, s8, s10 and highest velocityarrow_forwardA missile is moving along a curved path, AB, from A towards B. At A the missile’svelocity is 100 m/sec; its acceleration along the path depends on its distance, x, fromA according to the relationship ?? = 200 − ?, where x is measured along the path.What is the missile’s velocity when it reaches B, which is ? = 150m from A? If theradius of curvature of the path is 300 m at B, what is the missile’s resultant accelerationat B?arrow_forwardAt time t = 0, a particle is at rest in the x-y plane at the coordinates (x0, y0) = (9, 0) in. If the particle is then subjected to the acceleration components ax = 0.48 − 0.29t in. /sec2 and ay = 0.11t − 0.02t2 in. /sec2, determine the coordinates of the particle position when t = 6 sec. You might consider plotting the path of the particle during this time period. Ans: (x,y) = ( ___ , ___ ) in.arrow_forward
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