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

Expert Solution

genius_generous answered 2 years ago

A bicyclist starts from rest and accelerates to 5 m/s in 20 s. The wheels of...

A bicyclist starts from rest and accelerates to 5 m/s in 20 s. The wheels of the bicycle have a diameter of 80 cm. a) What is the angular velocity of the wheels at maximum speed? b) What is the angular acceleration of the bicycle wheels during this time? c) Find the number of revolutions the wheels make during this time. d) Find the average angular velocity of the wheels between the start and finish.

1) A car accelerates at 4 m /s / s. Assuming the car starts from rest,...

1) A car accelerates at 4 m /s / s. Assuming the car starts from rest, how far will it travel in 10 s? 2) An object falls freely from rest on a planet where the acceleration due to gravity is twice that of in Earth. Find the speed of the object after 5 second? 3) It takes 8 seconds for a stone to fall to the bottom of a mine shaft. How deep is the shaft? 4) A bag...

1. A particle starts from rest, increasing its speed evenly, traveling a distance of 10.0 (m)...

1. A particle starts from rest, increasing its speed evenly, traveling a distance of 10.0 (m) in a time of 1.40 (s). From that moment it is kept at constant speed for 1.00 (s). Then its speed decreases to rest in a time of 2.80 (s). Calculate the total displacement of the particle. STEP BY STEP PLEASE

A 108 m long train starts from rest (at t = 0) and accelerates uniformly. At...

A 108 m long train starts from rest (at t = 0) and accelerates uniformly. At the same time (at t = 0), a car moving with constant speed in the same direction reaches the back end of the train. At t = 12 s the car reaches the front of the train. However, the train continues to speed up and pulls ahead of the car. At t = 32 s, the car is left behind the train. Determine, the...

A train starts from rest at station A and accelerats at 0.5 m/s^2 for 60s.afterwards it...

A train starts from rest at station A and accelerats at 0.5 m/s^2 for 60s.afterwards it travels with a constant velocity for 15min. It then decelerates at 1m/s^2 until it is brought to rest at station B. Determine the distance between the stations.

a). A prototype car starts from rest and accelerates at a constant rate to 30 m/s...

a). A prototype car starts from rest and accelerates at a constant rate to 30 m/s in 5.6 seconds. How much distance did the car travel during the 5.6-second accelerated motion? b). A car was parked on the side of a hillside road at the top of a hill. Unbeknown to the owner, its parking brake failed and tremors from nearby construction set it in motion with negligible initial speed down the hill. Assume the acceleration was constant down the...

a). A prototype car starts from rest and accelerates at a constant rate to 60 m/s...

a). A prototype car starts from rest and accelerates at a constant rate to 60 m/s in 4.1 seconds. How much distance did the car travel during the 4.1-second accelerated motion? b). A single-engine air plain starts its engine at one end of the runway. It accelerates at a constant rate and takes off at 36 m/s after 29 seconds on the runway, just as it is running out of runway. How long is the runway? c). An object is...

A small particle starts from rest from the origin of an xy-coordinate system and travels in...

A small particle starts from rest from the origin of an xy-coordinate system and travels in the xy-plane. Its acceleration in the x-direction is 2m/s^2, and its acceleration in the y-direction is 1m/s^2. What is the x-coordinate of the particle when the y-coordinate is 12m?

A car starts from rest at a stop sign. It accelerates at 4.4 m/s^2 for 6.9...

A car starts from rest at a stop sign. It accelerates at 4.4 m/s^2 for 6.9 s, coasts for 2.3 s, and then slows down at a rate of 3.4 m/s^2 for the next stop sign. How far apart are the stop signs?

1 point) A truck starts from rest and accelerates at 1?/?2 . 6 s later, a...

1 point) A truck starts from rest and accelerates at 1?/?2 . 6 s later, a car accelerates from rest at the same starting point with an acceleration of 2.7m/s2 . a) Where and when does the car catch the truck? m from the starting point at seconds from the moment the truck started to accelerate. b) What are their velocities when they meet? The truck : m/s The car : m/s

Question