Dynamics

posted by .

A motorcycle is traveling at 20 m/s when it enters the test section of a circular track with a 1000-m radius. Once in the test section, the cycle slows down and its deceleration along the track varies with its position, s, by the relation a(subscript t) = -2.10s^2 (m/s^2). Determine
1.) The distance traveled within the test section until it comes to a stop.
2.) The magnitude of its acceleration at s = 5 m.

Similar Questions

1. physics

A 4.74 kg spherical ball with radius 1.4 cm rolls on a track with a loop of radius 39 cm that sits on a table 1.2 meters above the ground. The last 1 meter section of the track is horzontal and is not connected to the rest of the track. …
2. physics

A 4.74 kg spherical ball with radius 1.4 cm rolls on a track with a loop of radius 39 cm that sits on a table 1.2 meters above the ground. The last 1 meter section of the track is horzontal and is not connected to the rest of the track. …
3. Physics

A massless spring of constant k = 91.0 N/m is fixed on the left side of a level track. A block of mass m = 0.50 kg is pressed against the spring and compresses it a distance of d. The block (initially at rest) is then released and …
4. physics-mechanics

A high-speed test track for cars has a curved section — an arc of a circle of radius R = 1440 m. The curved section is banked at angle a = 19.1 degrees from the horizontal to help the cars to stay in the road while moving at high …
5. Physics

A solid brass ball of mass 9.5 g will roll smoothly along a loop-the-loop track when released from rest along the straight section. The circular loop has radius R = 4.2 m, and the ball has radius r << R. (a) What is h if the …
6. physics

A motorcycle stunt rider wants to do a loop-the-loop within a vertical circular track. If the radius of the circular track is 10.0 m, what minimum speed must the motorcyclist maintain to stay on the track?
7. physics

Car traveling on circular track. Point A is at positive x,y. Point B is at positive x, negative y. A car is traveling around a horizontal circular track with radius r = 220 m as shown. It takes the car t = 51 s to go around the track …
8. Physics

A high-speed test track for cars has a curved section — an arc of a circle of radius R = 3000 m. The curved section is banked at angle θ = 7 . 94 ◦ from the horizontal to help the cars to stay in the road while moving …
9. Physics

A roller coaster goes 40-m along a section of track sloping 10 degrees below the horizontal, followed by a 13-m section sloping upward at 6 degrees, followed by an 26-m section of level track. Find the net displacement in m.