Suppose that the position of a particle is given by s = f(t) = 4t³ + 2t +9. (a) Find the velocity at time t. v(t) = (b) Find the velocity at time t = 3 seconds. m S m S (c) Find the acceleration at time t. a(t) = (d) Find the acceleration at time t = 3 seconds. m s² m 8²

Q: If the brakes on a car give the car a constant negative acceleration of 2k m/s?, where k is a…

A:

Q: ppose that a particle moves along a straight line with velocity v(t) = 14 – 6t, where 0 <t < 2 (in…

A: To solve the following problem on distance and displacement

Q: 1.)  Let s(t)= tlnt-t be the displacement of a particle (in feet) from the origin after t seconds.…

A: Velocity and acceleration from displacement function

Q: A squirrel is running along a straight wire. Its position (in inches) after t seconds is given by…

A:

Q: If s (t) = 4t3 – 3t describes the position of a particle moving along a straight path where s (t) is…

A:

Q: A 800-lb object is released from rest 600 ft above the ground and allowed to fall under the…

A: According to the given information, it is required to determine the equation of motion of object…

Q: Suppose that a particle moves along a straight line with velocity v(t) = 13 - 3t, where 0<t < 4 (in…

A:

Q: A comet passing by a star, with initial velocity (30, 60), experiences a force which causes it to…

A:

Q: 1. A particle moves horizontally according to the law s = t³-t²- 24t + 1. (a) Where is the particle…

A:

Q: A particle has an acceleration of a(t) = 0i +0j + (7/3)k. The particle starts at the origin with…

A: Given: at=0i+0j+73kv(0)=7i-4j