Problem 4 A motorist starts from rest at point A on a circular entrance ramp when t= 0, increases the speed of her automobile at a constant rate and enters the highway at point B. Knowing that her speed continues to increase at the same rate until it reaches 100 km/h at point C, determine (a) the speed at point 8, (b) the magnitude of the total acceleration when t = 20 s. "A 150 m 100 m-

Problem 4 A motorist starts from rest at point A on a circular entrance ramp when t= 0, increases the speed of her automobile at a constant rate and enters the highway at point B. Knowing that her speed continues to increase at the same rate until it reaches 100 km/h at point C, determine (a) the speed at point 8, (b) the magnitude of the total acceleration when t = 20 s. "A 150 m 100 m-

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter2: Kinematics

Section: Chapter Questions

Problem 17PE: Professional Application Dr. John Paul Stapp was U.S. Air Force officer who studied the effects of...

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A car drives around a circular track of diameter 161 m at a constant speed of 47.4 m/s. During the time it takes the car to travel 256 degrees around, what is the magnitude of the car s average acceleration? Hint: Do not calculate instantenous accelleration. Instead calculte the average acceleration over the fraction of a complete lap. Average acceleration equals change in velocity divided by change in time, and that this is a two-dimensional situation so you'll have to calculate the x and y components of the average acceleration first and then figure out the magnitude. Remember also that ax = Δvx/Δt and ay = Δvy/Δt. 0 m/s^2 27.91 m/s^2 13.96 m/s^2 9.84 m/s^2
A motorist starts from rest at point A on a circular entrance ramp when t= 0, increases the speed of her automobile at a constant rate and enters the highway at point B . Knowing that her speed continues to increase at the same rate until it reaches 100 km/h at point C , determine (a) the speed at point B, (b) the magnitude of the total acceleration when t= 20 s.
An aging coyote cannot run fast enough to catch a road-runner. He purchases on eBay a set of jet-powered roller skates, which provide a constant horizontal acceleration of 15.0 m/s2 (Fig. P1.78). The coyote starts at rest 70.0 in from the edge of a cliff at the instant the roadrunner zips past in the direction of the cliff, (a) Determine the minimum constant speed the roadrunner must have to reach the cliff before the coyote. At the edge of the cliff', the roadrunner escapes by making a sudden turn, while the coyote continues straight ahead. The coyotes skates remain horizontal and continue to operate while he is in flight, so his acceleration while in the air ss (15.0 - 9.80j) m/s2, (b) The cliff is 100 m above the flat floor of the desert. Determine how far from the base of the vertical cliff the coyote lands, (c) Determine the components of the coyotes impact velocity.
The cheetah can reach a top speed of 114 km/h (71 mi/h). While chasing its prey in a short sprint, a cheetah starts from rest and runs 45 m in a straight line, reaching a final speed of 72 km/h. (a) Determine the cheetahs average acceleration during the short sprint, and (b) find its displacement at t = 3.5 s.
A motorist drives along a straight road at a constant speed of 15.0 m/s. Just as she passes a parked motorcycle police officer, the officer starts to accelerate at 2.00 m/s2 to overtake her. Assuming that the officer maintains this acceleration, (a) determine the time interval required for the police officer to reach the motorist. Find (b) the speed and (c) the total displacement of the officer as he overtakes the motorist.
Galileo thought about whether acceleration should be defined as the rate of change of velocity over time or as the rate of change in velocity over distance. He chose the former, so lets use the name vroomosity for the rate of change of velocity over distance. For motion of a particle on a straight line with constant acceleration, the equation v = vi + at gives its velocity v as a function of time. Similarly, for a particles linear motion with constant vroomosity k, the equation v = vi + kx gives the velocity as a function of the position x if the particles speed is vi at x = 0. (a) Find the law describing the total force acting on this object of mass m. Describe an example of such a motion or explain why it is unrealistic for (b) the possibility of k positive and (c) the possibility of k negative.
(a) Can the instantaneous velocity of an object at an instant of time ever be greater in magnitude than the average velocity over a lime interval containing that instant? (b) Can it ever be less?
An insect called the froghopper (Philaenus spumarius) has been called the best juniper in the animal kingdom. This insect can accelerate at over 4.0 103 m/s2 during a displacement of 2.0 mm as it straightens its specially equipped jumping legs. (a) Assuming uniform acceleration, what is the insect's speed after it has accelerated through this short distance? (b) How long does it take to reach that speed? (c.) How high could the insect jump if air resistance could be ignored? Note that, the actual height obtained is about 0.70 m, so air resistance is important here.
Professional Application Dr. John Paul Stapp was U.S. Air Force officer who studied the effects of extreme deceleration on the human body. On December 10, 1954, Stapp rode a rocket sled, accelerating from rest to a top speed of 282 m/s (1015 km/h) in 5.00 s, and was brought jarringly back to rest in only 1.40 s! Calculate his (a) acceleration and (b) deceleration. Express each in multiples of g (9.80 m/s2) by taking its ratio to the acceleration of gravity.
An insect called the froghopper (Philaenus spumarius) has been called the best juniper in the animal kingdom. This insect can accelerate at over 4.0 103 m/s2 during a displacement of 2.0 mm as it straightens its specially equipped jumping legs. (a) Assuming uniform acceleration, what is the insect's speed after it has accelerated through this short distance? (b) How long does it take to reach that speed? (c.) How high could the insect jump if air resistance could be ignored? Note that, the actual height obtained is about 0.70 m, so air resistance is important here.
There is a distinction between average speed and the magnitude of average velocity. Give an example fiat illustrates the difference between these two quantities.
An ant crawls on the floor along the curved path shown in Figure P3.4. The ants positions and velocities are indicated for times ti = 0 and tf = 5.00 s. Determine the x- and y-components of the ants (a) displacement, (b) average velocity, and (c) average acceleration between the two times. Figure P3.4