1) An object undergoes uniformly accelerated motion from point x1 = 6 m at time t1 = 3 s to point x2 = 47 m at time t2 = 7 s. (The direction of motion of the object does not change.)
(a) If the magnitude of the instantaneous velocity at t1 is v1 = 2 m/s, what is the instantaneous velocity v2 at time t2?
(b) Determine the magnitude of the instantaneous acceleration of
the object at time t2.
2) Use the exact values you enter to make later
calculations.
Jack and Jill are on two different floors of their high rise office
building and looking out of their respective windows. Jack sees a
flower pot go past his window ledge and Jill sees the same pot go
past her window ledge a little while later. The time between the
two observed events was 4.6 s. Assume air resistance is
negligible.
(a) If the speed of the pot as it passes Jill's window is 54.0
m/s, what was its speed when Jack saw it go by?
(b) What is the height between the two window ledges?
3) Suppose you are an astronaut and you have been stationed on a
distant planet. You would like to find the acceleration due to the
gravitational force on this planet so you devise an experiment. You
throw a rock up in the air with an initial velocity of 12 m/s and
use a stopwatch to record the time it takes to hit the ground. If
it takes 6.8 s for the rock to return to the same location from
which it was released, what is the acceleration due to gravity on
the planet?
1) An object undergoes uniformly accelerated motion from point x1 = 6 m at time t1...
An object undergoes uniformly accelerated motion from point x1 = 6 m at time t1 = 3 s to point x2 = 46 m at time t2 = 8 s. (The direction of motion of the object does not change.) (a) If the magnitude of the instantaneous velocity at t1 is v1 = 2 m/s, what is the instantaneous velocity v2 at time t2?
A cat rides a merry-go-round turning with uniform circular motion. At time t1 = 2.00 s, the cat’s velocity is given by vx = 3.00 m/s and vy = 4.00 m/s. At t2 = 5.00 s, the cat’s velocity is given by vx= −3.00 m/s and vy = −4.00 m/s. Take the coordinate system of the merry-go-round to have its origin at the center. (a) What is the magnitude of the cat’s centripetal acceleration? (b) What is the magnitude of...
A cat rides a merry-go-round tuning with a uniform circular motion. At t1= 2.00 s, the cat's velocity is given by vx= 3.00 m/s and vy= 4.00 m/s. At t2= 5.00 s, the cat's velocity is given by vx= -3.00 m/s and vy= -4.00 m/s. Take the coordinate system of the merry-go-round to have its origin at the center. (a) What is the magnitude of the cat's centripetal acceleration? (b) What is the magnitude of the cat's average acceleration during...
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)...
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...
An object moves in one dimensional motion with constant acceleration a = 6.9 m/s2. At time t = 0 s, the object is at x0 = 1.7 m and has an initial velocity of v0 = 3.6 m/s. How far will the object move before it achieves a velocity of v = 6.2 m/s? Your answer should be accurate to the nearest 0.1 m.
An object moves in one dimensional motion with constant acceleration a = 5.9 m/s2. At time t = 0 s, the object is at x0 = 4.1 m and has an initial velocity of v0 = 4.4 m/s. How far will the object move before it achieves a velocity of v = 8.5 m/s? Your answer should be accurate to the nearest 0.1 m.
An object moves in one dimensional motion with constant acceleration a = 4.8 m/s2. At time t = 0 s, the object is at x0 = 1.4 m and has an initial velocity of v0 = 3.6 m/s. How far will the object move before it achieves a velocity of v = 6.5 m/s? Your answer should be accurate to the nearest 0.1 m.
An object moves in one dimensional motion with constant acceleration a = 3.2 m/s2. At time t = 0 s, the object is at x0 = 2.2 m and has an initial velocity of v0 = 4.9 m/s. How far will the object move before it achieves a velocity of v = 8.4 m/s? Your answer should be accurate to the nearest 0.1 m.
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)...