Question

Notify Me Bookmark

A particle initially located at the origin has an acceleration of a→ = 1.00ȷ^m/s2 and an initial velocity of v→i = 9.00 i^m/s. (a) Find the vector position of the particle at any time t (where t is measured in seconds). ( ti^+ t2 j^)m (b) Find the velocity of the particle at any time t. i^+ tj^)m/s (c) Find the coordinates of the particle at t = 3.00 s. x = m y = m (d) Find the speed of the particle at t = 3.00 s. m/s

A particle initially located at the origin has an acceleration of a→ = 1.00ȷ^m/s2 and an initial velocity of v→i = 9.00 i^m/s. (a) Find the vector position of the particle at any time t (where t is measured in seconds). ( ti^+ t2 j^)m (b) Find the velocity of the particle at any time t. i^+ tj^)m/s (c) Find the coordinates of the particle at t = 3.00 s. x = m y = m (d) Find the speed of the particle at t = 3.00 s. m/s

Image text
A particle initially located at the origin has an acceleration of a → = 1.00 ȷ ^ m / s 2 and an initial velocity of v → i = 9.00 i ^ m / s . (a) Find the vector position of the particle at any time t (where t is measured in seconds). ( ◻ t i ^ + ◻ t 2 j ^ ) m (b) Find the velocity of the particle at any time t . ◻ i ^ + ◻ t j ^ ) m / s (c) Find the coordinates of the particle at t = 3.00 s .
x = ◻ m y = ◻ m
m m (d) Find the speed of the particle at t = 3.00 s . ◻ m / s

Detailed Answer

0 0

Please enter your email here. You will get email when this question is answered by our tutor.

Doubtrix Logo

Problem is not yet solved!

Click on Notify me to get email when question is answered.

Join Doubtrix with 7-days free trial

  • Icon Correct & Verified Answers
  • Icon No AI-Generated Answers
  • Icon Video Solution for Difficult Questions
  • Icon Work With Experts to Reach at Correct Answers
Notify me Login Sign Up

Similar/Related Questions

Two constant forces act on an object of mass m = 5.80 kg moving in the xy plane as shown in Figure below. Force F1 is 24.5 N at 35.0°, and force F2 is 42.0 N at 150°. At time t = 0, the object is at the origin and has velocity (3.40ı^ + 2.15 j^) m/s. (a) Express the two forces in unit-vector notation. F→1 = N F→2 = N (b) Find the total force exerted on the object. N (c) Find the object's acceleration. m/s2 Now, consider the instant t = 3.00 s. (d) Find the object's velocity. m/s (e) Find its position. m (f) Find its kinetic energy from 1/2 mvf2. kJ (g) Find its kinetic energy from 1/2 mvi2 +ΣF→⋅Δr→. kJ
Solution
0 0

A student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of v→0 = 17.5 m/s. The cliff is h = 38.0 m above a flat, horizontal beach as shown in the figure. (a) What are the coordinates of the initial position of the stone? x0 = m y0 = m (b) What are the components of the initial velocity? v0x = m/s v0y = m/s (c) Write the equations for the x-and y-components of the velocity of the stone with time. (Use the following as necessary: t. Let the variable t be measured in seconds. Do not include units in your answer.) vx = vy = (d) Write the equations for the position of the stone with time, using the coordinates in the figure. (Use the following as necessary: t. Let the variable t be measured in seconds. Do not state units in your answer.) x = y = (e) How long after being released does the stone strike the beach below the cliff? s (f) With what speed and angle of impact does the stone land? v→f = m/s θ = ∘ below the horizontal
Solution
0 0

Consider a particle moving along the x-axis where x(t) is the position of the particle at time t, x′(t) is its velocity, and x′′(t) is its acceleration. A particle, initially at rest, moves along the x-axis such that its acceleration at time t > 0 is given by a(t) = 2cos⁡(t). At the time t = 0, its position is x = 7. (a) Find the velocity and position functions for the particle. v(t) = f(t) = (b) Find the values of t for which the particle is at rest. (Use k as an arbitrary non-negative integer. ) t =
Solution
2 0