A particle moving in a straight line is at a distance of s(t) = 1.lt³ + 13t feet from its starting point after t seconds, where 0

Q: Find the distance traveled after 6 seconds by a particle whose velocity is v(t) = (t − 2) meters at…

A: Given

Q: A particle travels along a straight line with a velocity v=(12 - 3t®)m/s, where t is in seconds.…

A:

Q: In an object was thrown upward at 64 ft/s from a height of 20 feet, its height h after t seconds is…

A: (A) To calculate the average velocity between 1 and 2 seconds, you can use the formula for average…

Q: Given: v(t) = (t + 1)i + (3t)j Position at t = 1 is (4,9) Find the speed at t = 3. speed = √?

A:

Q: The acceleration (in ft/s2) of an object moving along a straight line is given by a(t) = 3t Find the…

A:

Q: A bead slides down the curve xy = 10. Find the bead’s horizontal velocity at time t = 2 s if its…

A:

Q: At t seconds, an object in rectilinear motion is s meters from the origin, where s(t) = t - t + 1.…

A: Given, Position function, s(t)=t4-t3+1 ∴ Velocity function, v(t)=s'(t) =>v(t)=4t3-3t2

Q: An object moves in a straight line so that its velocity after t seconds is v(t) = 2/t – t. Determine…

A: Given, Velocity of the particle v(t) = 2t -t Particle is moving in the straight line We have to find…

Q: ight, in metres, of an object that has fallen from a height of 180 m is given sition function s(t) =…

A: We will find the required.

Q: At time t seconds, the center of a bobbing cork is 2sin(2t) centimeters above or below water level.…

A: ft=2sin2t Now velocity is the derivative of position with respect to time. So differentiating…