15. The position of an object as a function of time is given in meters by...
A particle's position ?⃗ as a function of time ? is given by ?⃗ (?)=??^3?̂ +(??−??4)?̂ . where a=5.00 m/s^3, b=3.00 m/s, and c=6.00 m/s^4. At t=2.45 s find: (e)The x-component of velocity. (f)The y-component of velocity. (g)The magnitude of the velocity vector. (h)The direction of the velocity vector. Your answer for this part should be in the range of -180 to 180 degrees. (i)The x-component of the acceleration. (j)The y-component of the acceleration. (k)The magnitude of the acceleration vector....
.- The position of a body in one-dimensional movement as a function of time is represented in the figure. a) Where the movement is in the positive or negative direction of the x's b) When the movement is accelerated or delayed (c) When the speed is zero d) Approximate value of speed up to t= 0.8s e) When the acceleration is different from zero X(m) 1 - - - 0'1 2,0
An airplane is flying at a height h, above the ground when it shoots a projectile with v. = 80 m/s at 24° below the horizontal as shown in the figure. Please assume that the projectile is in free fall while it is in the air. a) How long would it take for the projectile to accelerate to a speed of 110 m/s? b)lf the package lands 1 km from where it was shot, at what height is the plane...
7. Do the projectile motion General Motion with Unit Vectors and Components An object undergoes the following consecutive displacements: s (2i +3j +5k)m,s2 (6i- 9j + 2k)m, and s3 (10i 8j -k)m. a) Find the resultant displacement in terms of unit vectors and components. b) State the magnitude of the resultant displacement. 2. Suppose a hiker travels 5 km southwest from their camp. Then, the hiker travels 2 km 75° north of east. a) Find the displacement of the hiker...
1.- The position of a body in one-dimensional movement as a function of time is represented in the figure. a) Where the movement is in the positive or negative direction of the x's b) When the movement is accelerated or delayed (c) When the speed is zero d) Approximate value of speed up to t= 0.8s e) When the acceleration is different from zero X(m) 1 - - - 0'1 2,0
Problem #1: (Projectile Motion) A drone carrying a package to be delivered to customers. The package is to be release at the right moment to hit at specific location on the customers property, A. The drone is flying horizontally at an altitude of 100 m and velocity of 120 km/h A) At what angle 0 with the horizontal should the package be released to hit A? (hint find the horizontal distance between the drone and point A) B) What is...
7. General Motion with Unit Vectors and Components An object undergoes the following consecutive displacements: s (2i +3j +5k)m,s2 (6i- 9j + 2k)m, and s3 (10i 8j -k)m. a) Find the resultant displacement in terms of unit vectors and components. b) State the magnitude of the resultant displacement. 2. Suppose a hiker travels 5 km southwest from their camp. Then, the hiker travels 2 km 75° north of east. a) Find the displacement of the hiker form their camp. b)...
6. General Motion with Unit Vectors and Components An object undergoes the following consecutive displacements: s (2i +3j +5k)m,s2 (6i- 9j + 2k)m, and s3 (10i 8j -k)m. a) Find the resultant displacement in terms of unit vectors and components. b) State the magnitude of the resultant displacement. 2. Suppose a hiker travels 5 km southwest from their camp. Then, the hiker travels 2 km 75° north of east. a) Find the displacement of the hiker form their camp. b)...
5. General Motion with Unit Vectors and Components An object undergoes the following consecutive displacements: s (2i +3j +5k)m,s2 (6i- 9j + 2k)m, and s3 (10i 8j -k)m. a) Find the resultant displacement in terms of unit vectors and components. b) State the magnitude of the resultant displacement. 2. Suppose a hiker travels 5 km southwest from their camp. Then, the hiker travels 2 km 75° north of east. a) Find the displacement of the hiker form their camp. b)...
4. General Motion with Unit Vectors and Components An object undergoes the following consecutive displacements: s (2i +3j +5k)m,s2 (6i- 9j + 2k)m, and s3 (10i 8j -k)m. a) Find the resultant displacement in terms of unit vectors and components. b) State the magnitude of the resultant displacement. 2. Suppose a hiker travels 5 km southwest from their camp. Then, the hiker travels 2 km 75° north of east. a) Find the displacement of the hiker form their camp. b)...