the position of a particle when t=0 is 9.0m and its velocity is 3.0 m/s. from...

the position of a particle when t=0 is 9.0m and its velocity is 3.0 m/s. from t=0 to t=3.5s the acceleration of a particle is a= 8 + 6t + 3t^2 + t^3 m/s^2 . From t=3.5s until it comes to rest, its acceleration is a= -8 m/s^2 . Determine the total travel time and the total distance.

Expert Solution

genius_generous answered 2 years ago

When t = 0, the position of a point is s= 6m, and its velocity is...

When t = 0, the position of a point is s= 6m, and its velocity is v= 2m/s. From t = 0 to t= 6s, the acceleration of the point is a = 2+ 2t2 m/s2 .From t = 6s until it comes to rest, its acceleration is a = -4m/s2 a.) What is the total time of travel? b.) What total distance does the point move?

Particle A of mass m, initial velocity 20i (m/s) has a collision with a stationary particle...

Particle A of mass m, initial velocity 20i (m/s) has a collision with a stationary particle B of mass 2m. After collision, VA(final)=10i+5j (m/s). a) Find VB(final) if the system (particle A plus B) linear momentum is conserved (both i and j directions). What are the velocities of center of the system before and after collision?b) Find the system’s % KE lost due to the collision (m=20.0gram). c) If the collision time between A and B is 0.050 s, what...

A particle starts from rest at s = 0. The particle follows: v = (t2-5t+6) m/s...

A particle starts from rest at s = 0. The particle follows: v = (t2-5t+6) m/s Determine the position of the particle at t = 8 seconds. Determine the total distance traveled from 0 to 10 seconds. (draw the pathway) SKETCH a v versus t curve and a versus t curve from t = 8 to t= 10 sec

Find the velocity, acceleration, and speed of a particle with the given position function. r(t) =...

Find the velocity, acceleration, and speed of a particle with the given position function. r(t) = 2 cos(t), 2t, 2 sin(t)

Find the velocity, acceleration, and speed of a particle with the given position function. r(t) =...

Find the velocity, acceleration, and speed of a particle with the given position function. r(t) = 9 cos(t), 8 sin(t) v(t) = a(t) = |v(t)| = Sketch the path of the particle and draw the velocity and acceleration vectors for t = π 3 .

1.The position of a particle in rectilinear motion is given by s (t) = 3sen (t)...

1.The position of a particle in rectilinear motion is given by s (t) = 3sen (t) + t ^ 2 + 7. Find the speed of the particle when its acceleration is zero. 2.Approximate the area bounded by the graph of y = -x ^ 2 + x + 2, the y-axis, the x-axis, and the line x = 2. a) Using Reimmann sums with 4 subintervals and the extreme points on the right. b) Using Reimmann sums with 4...

A particle moves with acceleration function a(t) = 2x+3. Its initial velocity is v(0) = 2...

A particle moves with acceleration function a(t) = 2x+3. Its initial velocity is v(0) = 2 m/s and its initial displacement is s(0) = 5 m. Find its position after t seconds.

Suppose that a particle has the following acceleration vector and initial velocity and position vectors. a(t) ...

Suppose that a particle has the following acceleration vector and initial velocity and position vectors. a(t) = 7 i + 9t k, v(0) = 4 i − j, r(0) = j + 5 k (a) Find the velocity of the particle at time t. (b) Find the position of the particle at time t.

s(t)= 5t + 3/t^2 be the position in feet of a particle after t seconds for t...

s(t)= 5t + 3/t^2 be the position in feet of a particle after t seconds for t ≥ 1. (a) Compute the average velocity from t = 1 to t = 3. Include units in your answer (b) Where is the velocity = 0? (c) Show the accelaration for t ≥ 1 is positive. (d) What are the units for the acceleration?

The position of a particle moving along a line (measured in meters) is s(t) where t...

The position of a particle moving along a line (measured in meters) is s(t) where t is measured in seconds. Answer all parts, include units in your answers. s(t)=2t^3 +6t^2 −48t+7 −10<t<10 (a) Find the velocity function. (b) Find all times at which the particle is at rest. (c) On what interval is the particle moving to the right? (d) Is the particle slowing down or speeding up at t = −1 seconds?

Question

the position of a particle when t=0 is 9.0m and its velocity is 3.0 m/s. from...

Solutions

Expert Solution

Related Solutions

When t = 0, the position of a point is s= 6m, and its velocity is...

Particle A of mass m, initial velocity 20i (m/s) has a collision with a stationary particle...

A particle starts from rest at s = 0. The particle follows: v = (t2-5t+6) m/s...

Find the velocity, acceleration, and speed of a particle with the given position function. r(t) =...

Find the velocity, acceleration, and speed of a particle with the given position function. r(t) =...

1.The position of a particle in rectilinear motion is given by s (t) = 3sen (t)...

A particle moves with acceleration function a(t) = 2x+3. Its initial velocity is v(0) = 2...

Suppose that a particle has the following acceleration vector and initial velocity and position vectors. a(t) ...

s(t)= 5t + 3/t^2 be the position in feet of a particle after t seconds for t...

The position of a particle moving along a line (measured in meters) is s(t) where t...