1.A car travels from point A to D through four station. The Car Travels north from A to B at a speed of u=35t+2 for 120 minutes, then east from B to C for 150 minutes at x=15t^2+4.5t+4, and lastly to D for 55 minutes. Determine the displacement traveled along CD if the displace of the car (from A to D) is 195 km, 25° N of E all values of u are in kph, x in kilometer and t in hour. What are the speeds between stations? 2.The movement of two particles in space is recorded as follows.: Particle A moves 5meters to the left, 5 meters forward and 4meters upward. Particle B moves 3 units backward, 1 unit to the left and 6 units upwards. The two particles start from the same point, determine the cross product and angle between the line vectors of the two particles’ movement. 3.Given the following vectors, determine (a) their equilibrant by triangle method (b) their dot product. A=30N, 20° N of E B=40N, 80° S of W 4. The work done by a particle is defined by the equation W=t^3-2t^2+3t+4, where Wis in N-m and time is in second. How much work is done after 3 seconds? What is the rate of work in 5 seconds? 5.The spring of a spring gun has a force constant of 100N/m. A rubber ball is released from rest and leaves the barrel at 12 m/s after firing. Determine (a) the mass of the rubber ball in grams if the spring was compressed by 15 cm; (b) the initial potential energy and (c) final kinetic energy. 6.Shohoku High Forward, Kaede Rukawa makes a 3-point shot during their game with Ryonan High. At what velocity and angles was the shot made if the following where the criteria during the said shot. -Ball was released from height of 2.8 meters (o.685m jump height, 1.87m player height, average 25cm head-neck assembly and 0.22m arm length) -shot was made from the 3-points line (6.8 m from the centerline hoop) - Hoop height is 3 meters and travel time of ball from release to hoop entry is 0.95 seconds 7.Two masses are attached by a string of a frictionless pulley. Mass 1 rests on an inclined plane while mass 2 hangs on the other side of the pulley. Determine (a) magnitude of the force (parallel to surface) required to pull m1 down and (b) the tension and acceleration of the system if no force is applied. -Angle of friction is given at 20° and inclined is at 15° -m1=30kg and m2= 50 kg
1.A car travels from point A to D through four station. The Car Travels north from A to B at a speed of u=35t+2 for 120 minutes, then east from B to C for 150 minutes at x=15t^2+4.5t+4, and lastly to D for 55 minutes. Determine the displacement traveled along CD if the displace of the car (from A to D) is 195 km, 25° N of E all values of u are in kph, x in kilometer and t in hour. What are the speeds between stations?
2.The movement of two particles in space is recorded as follows.: Particle A moves 5meters to the left, 5 meters forward and 4meters upward. Particle B moves 3 units backward, 1 unit to the left and 6 units upwards. The two particles start from the same point, determine the cross product and angle between the line vectors of the two particles’ movement.
3.Given the following vectors, determine (a) their equilibrant by triangle method (b) their dot product.
A=30N, 20° N of E
B=40N, 80° S of W
4. The work done by a particle is defined by the equation W=t^3-2t^2+3t+4, where Wis in N-m and time is in second. How much work is done after 3 seconds? What is the rate of work in 5 seconds?
5.The spring of a spring gun has a force constant of 100N/m. A rubber ball is released from rest and leaves the barrel at 12 m/s after firing. Determine (a) the mass of the rubber ball in grams if the spring was compressed by 15 cm; (b) the initial potential energy and (c) final kinetic energy.
6.Shohoku High Forward, Kaede Rukawa makes a 3-point shot during their game with Ryonan High. At what velocity and angles was the shot made if the following where the criteria during the said shot.
-Ball was released from height of 2.8 meters (o.685m jump height, 1.87m player height, average 25cm head-neck assembly and 0.22m arm length)
-shot was made from the 3-points line (6.8 m from the centerline hoop)
- Hoop height is 3 meters and travel time of ball from release to hoop entry is 0.95 seconds
7.Two masses are attached by a string of a frictionless pulley. Mass 1 rests on an inclined plane while mass 2 hangs on the other side of the pulley. Determine (a) magnitude of the force (parallel to surface) required to pull m1 down and (b) the tension and acceleration of the system if no force is applied.
-Angle of friction is given at 20° and inclined is at 15°
-m1=30kg and m2= 50 kg
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