A. Position vector of the ant at t=1.0 s B. Total distance traveled by the ant between t=0.0 s to t=7.0 s C. Displacement vector of the ant between t = 0.0 s and t 7.0 s D. Position vector of the ant att= 6.5 s. E. Magnitude of the displacement vector of the ant between t= 0.0 s and t= 7.0 s
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- A calculator may not be used on the following questions. A particle moves in the xy-plane so that its velocity vector for time 0 <<10 is (√36-67, 4t). Which one of the following statements is true about the particle when * = 1? Select one: a. The speed of the particle is √30 +4. O b. The particle is at rest. Oc. The particle is speeding up. Od. The particle is slowing down.4. Assume a 5-m ladder sliding down a wall. The variable h is the height of the ladder’s top at time t, and x isthe distance from the wall to the ladder’s bottom. Assume the bottom slides away from the wall at a rate of0.8m/s. Find the velocity of the top of the latter at t = 2s if the bottom is 1.5m from the wall at t = 0s.2. Consider a circular track of circumference= 1400 m. There are 2 bikes which start from point A and move in the opposite direction. Once they meet, they start moving in the opposite directions. The one that moves in the anticlockwise direction to the other one has a Speed in the ratio of 36:48 kmph. Find the Distance of the two bikes from A when they meet for the 15th Time? а. 1200 b. 250 с. 350 d. none of these
- 1. You are to program a robotic arm on an assembly line to move in the xy-plane. Its first displacement is A; its second displacement is B, of magnitude 10.00 cm and direction 74.2 deg measured in the sense from the +x-axis toward the -y-axis. The resultant C = A + B of the two displacement s should also have a magnitude of 10.00 cm, but a direction 41.6 deg measured in the sense from the +x-axis toward the +y-axis. (a) Find the magnitude of A. 2. A ball is speeding up along a circular track. What can be said about the velocity and acceleration vectors on the body? 3. In an intersection, a bus moving at (100i) m/s and a truck moving at (200j) m/s collided with each other. Assuming that the two objects have the same mass, what would be their final speed together?4. The motions of two objects, A and B, are defined by the following vectors: vector A = 6.0622i + 3.500j m/s vector B = 5.9500i + 10.3057j m/s unit vector of bullet = -j %3D Object A and B left at the same time and at the same point. What is the angle between the paths of motion of objects A and B?A record is played by spinning the record so that a circular groove in the vinyl slides under the stylus. Suppose that a record turns at a rate of 33 1/3 rev. min, the groove being played is at a radius of 10.0 cm and the bumps in the grove are uniformly separated by 1.75 mm. At what rate (hits per second) do the bumps hit the stylus? Enter units as hertz (Hz). You will need v=rω ω is in rad/s and 1rev = 2 pi rad.
- 5. A particle travels in a circle of radius 12 m at a constant speed of 21 m/s. What is the magnitude of the acceleration? 6. The velocity of a particle in reference frame A is (4.0 î+ 5.0ĵ) m/s. The velocity of reference frame A with respect to reference frame B is 6.0 k m/s, and the velocity of reference frame B with respect to C is 2.0 j m/s. What is the velocity of the particle in reference frame C?A board 2.5 m long leans against a vertical wall. It starts to slide down the wall. The instant the bottom end is 2 m from the base of the wall, the top end is moving down the wall at the rate of 2 m/s. At that moment, how fast is the bottom sliding along the horizontal ground. 1.5 m/s 2 m/s 0.5 m/s 2.5 m/sA particle undergoes three consecutive displacements d1=(1.5i+3.0j-1.2km) cm, d2=(2.3i-1.4j-3.6k) cm and d3=(-1.3i+1.5j) cm. find the component and its magnitude.
- 1.5 Scalars and Vectors Find the speed and direction of an object with vy 2.0 cm/s and vy= 3.0 cm/s. O 3.6 cm/s, 56° from the +x axis O 5.0 cm/s, 34° from the +x axis O 3.6 cm/s, 34 ° from the +x axis O 3.6 cm/s, 66° from the +x axis O 5.0 cm/s, 66° from the +x axis Submit Answer Save for Later X %244. A particle starts from the origin at t=0 with a velocity of (161 – 12j) m/s and moves in the xy plane with a constant acceleration of a= (3.01 – 6.0ĵ) m/s². a. What is the position vector at any time t? b. Determine the direction (as measured from the positive x axis, counterclockwise) of the position at t=2s.5. A 114 gram Frisbee is lodged on a tree branch 7.65 meters above the ground. To free it, you lob a 240 gram clod of muddy dirt vertically upward. The dirt leaves your hand at a point 1.23 m above the ground, moving at 17.7 m/s. It sticks to the Frisbee. What's the maximum height reached by the Frisbee-dirt combination? m₂ + m₂ 414 + 240