Displacement is defined as the most direct distance between a point's starting and ending position. It's a vector quantity, which means it possesses both magnitude and direction. It's calculated by subtracting the original position from the final position. Its value could be positive, negative, or zero, which represents the direction of the movement.
| Topic | Problem | Solution |
|---|---|---|
| None | Kinematics - One-Dimensional Name: Period: Group:… | Let the distances the dog ran be represented as distance1, distance2, and distance3 respectively. S… |
| None | Enaj goes out for a run and jogs $3.2 \mathrm{~km… | Convert each vector to Cartesian coordinates. The x-component is the length times the cosine of the… |
| None | ber 18 . 1. You drive along a straight road for $… | The distance traveled is the sum of the distance driven and the distance walked. Both distances are… |
| None | 31. The distance, $d$, an accelerating object tra… | Given the distance $d = 80$ meters and the acceleration $a = 20$ meters per second per second, we n… |
| None | QUESTION 1 A cannon fires a projectile with a spe… | We are given a cannon fires a projectile with a speed of 35 m/s at an angle of 82 degrees up from t… |
| None | A ball is thrown vertically upward with an initia… | We are given that a ball is thrown vertically upward with an initial velocity of 64 feet per second… |
| None | The distance between the highest height of a cabi… | The distance between the highest height of a cabin on a ferris wheel and the cabin's lowest point i… |
| None | A pottery wheel starts from rest and then begins … | We are given that a pottery wheel starts from rest and then begins to rotate with constant angular … |
| None | Required information A bicycle travels $3.40 \mat… | Given that a bicycle travels $3.40 \mathrm{~km}$ due east in $0.600 \mathrm{~h}$, then $9.10 \mathr… |
| None | Required information Sheena can row a boat at $3.… | First, calculate the resultant velocity of the boat using the Pythagorean theorem to add the veloci… |
| None | Required information A bicycle travels $7.10 \mat… | The displacement for the first leg of the trip is \(7.10 \mathrm{~km}\) due east, which is \(7.10 \… |
| None | Required information Margaret walks to the store … | Margaret walks to the store using the following path: 0.650 mi west, 0.420 mi north, 0.110 mi east.… |
| None | 5. A rocket is launched upwards from the top of a… | The rocket is in the air from the time it is launched until it hits the ground. The time when it hi… |
| None | GROUP 12 Sphere-Sphere Collision Group - 4 questi… | Given the two spheres: \(S_{1}:(z-1)^{2}+(y-2)^{2}+(z-3)^{2}=9\) and \(S_{2}:(z-5)^{2}+(y-5)^{2}+(z… |
| None | A ball is dropped from a platform $20 \mathrm{~m}… | Let's find the total distance traveled by the ball after the 16th bounce and when it stops. We know… |
| None | Three children are throwing a disc in the park. T… | Find the x and y components of each throw: \(x_1 = -16.57\), \(y_1 = -7.03\), \(x_2 = 8.92\), \(y_2… |
| None | 9.67 A vinyl record that is initially turning at … | Convert initial angular velocity from rpm to rad/s: \(\omega_{i} = 33.33 \times \frac{2\pi}{60} = 3… |
| None | A car moves in a straight line, at a time \( t_{1… | \( \bar{v} = \frac{\Delta x}{\Delta t} \) |
| None | If a 15kg ball takes 32 seconds to strike the gro… | Find time (t) using given information: t = 32s |
| None | If a \( 15 \mathrm{~kg} \) ball takes 54 seconds … | 1. \( t = 54 \mathrm{~s} \) |
| None | (a) How far has Norman cycled in the first 10 min… | \( \text{Distance in 10 mins} = \text{speed} \times \text{time} = 10 \times \frac{10}{60} = \frac{1… |
| None | A person jogs 3 miles, leaving her porch at \( 11… | \mathrm{Displacement} = \mathrm{Final \ position} - \mathrm{Initial \ position} |
| None | A car moving \( 18.2 \mathrm{~m} / \mathrm{s} \) … | 1. Calculate the initial gravitational potential energy (PE): \( PE_{i} = mgh \) |