An object undergoes uniformly accelerated motion from point x1 = 9 m at time t1 = 3 s to point x2 = 44 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.
An object undergoes uniformly accelerated motion from point x1 = 9 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?
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)...
Table 3.1
Time, t (s)
Position, x (m)
tn/t1
Time Squared, t^2 (s^2)
(tn)^2/(t1)^2
xn/x1
t1, 0.40
x1, 0.25
1.0
.16
1
1
t2, 0.80
x2, 0.36
2.0
.64
4
1.4
t3, 1.2
x3, 0.52
3.0
1.4
9
2.1
t4, 1.6
x4, 0.71
4.0
2.6
16
2.8
t5, 2.0
x5, 0.95
5.0
4.0
25
3.8
t6, 2.4
x6, 1.2
6.0
5.8
36
4.8
Linear fit equation for Position Vs. Time: 0.545x - 0.0530
Quadratic fit equation for Position Vs. Time:...
An object undergoes acceleration 2.3i + 3.6j m/s^2 for 10s. At the end of this time, its velocity is 33i + 15j m/s. A. what was its velocity at the beginning of the 10s interval? B. By how much did its speed change? C. by how much did its direction change? D. show that the speed change is not given by the magnitude of the acceleration multiplied by the time. Why not?
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...
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...
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...
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)...