A woodpecker’s brain is specially protected from large accelerations by tendon-like attachments inside the skull. While pecking on a tree, the woodpecker’s head comes to a stop from an initial velocity of 0.600 m/s in a distance of only 2.00 mm. (a) Find the acceleration in meters per second squared and in multiples of g, where g = 9.80 m/s2. (b) Calculate the stopping time. (c) The tendons cradling the brain stretch, making its stopping distance 4.50 mm (greater than the head and, hence, less acceleration of the brain). What is the brain’s acceleration, expressed in multiples of g?

Q: A particle moves according to a law of motion s = f(t) = t³ - 15t² + 72t, tz 0, where t is measured…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: A particle is traveling in a straight line. Its position at time t in seconds is given by s(t) = 8√t…

A:

Q: he position of an object moving along an x axis is given by x = 3.09 t - 4.24 t2 + 1.01 t3, where x…

A: Given: x(t) = 3.09t - 4.24t2 +1.01t3

Q: A basketball player jumps straight up for a ball. To do this, he lowers his body 0.350 m and then…

A: Formula :- We will use the kinematic equation vf2=vi2+2ad  to solve the problem. Where viis the…

Q: The position of an object moving along an x axis is given by x = 3.00 t - 4.04 t2 + 1.01 t3, where x…

A: Given data:  The position of the object as function of time x = 3.00t - 4.04t2 + 1.01t3 x in meters…

Q: The velocity of an object (in m/s) is given by v(t)=0.515t^2 + 2.77t - 8.15. Find the average…

A:

Q: Modern oil tankers weigh over a half-million tons and have lengths of up to one-fourth mile. Such…

A: Given information:Distance required to come to rest (s) = 4.5 km = 4500 m.Time required to stop (t)…

Q: If a ball is thrown upward from the ground with an initial speed of 96 feet per second, its height…

A:

Q: The velocity of a parachutist during free fall is f (t) = 60(1 - e-0.17t) meters per second. (Recall…

A: The physical quantities are classified into two types- scalar and vectors. Scalar quantities are…

Q: A speedboat increases its speed uniformly from vi = 20.0 m/s to vf = 29.0 m/s in a distance of  Δx =…

A: Given data:  Initial velocity (Vi) = 20.0 m/s Final velocity (Vf) = 29.0 m/s Distance (Δx) =…

Q: The speed of an object moving through a viscous fluid is given by v(t)=A⋅e^(−b⋅t). (a) If the…

A:

Q: During astronaut training, the person rides a simulated rocket, accelerating from rest to maximum…

A: Calculate the acceleration opposite to the direction of motion by using the kinematics equation,…

Q: (a) What is the magnitude of the average acceleration of a skier who, starting from rest, reaches a…

A: Given data:  Initial velocity (u) = 0 m/s Final velocity (v) = 10.0 m/s Time (t) = 2.95 s Required:…

Q: An object moves along a straight line and experiences a constant acceleration of +1.53 cm/s2. At t =…

A:

Q: The particle is moving along a stright path such that its velocity at any time t is given by v = 24t…

A: Given: The particle is moving along a straight path such that its velocity at any time t is given by…

Q: A car travelling at the speed of V m/s on a straight, level road. After the brakes are appled at…

A: Given data: Distance s =1119t3-t2+18t                        (1)

Q: Dr. John Paul Stapp was a U.S. Air Force officer who studied the effects of extreme acceleration on…

A: Given data: Initial speed is, u1=0 m/s                  (As sled starts from rest) Final speed is,…

Q: Over a time interval of 1.54 years, the velocity of a planet orbiting a distant star reverses…

A: GivenInitial velocity is Final velocity is Time interval is We have to find total change in velocity…

Q: The velocity of a particle moving along the x axis varies according to the expression νx = 40 - 5t2,…

A: Velocity of the particle is given as,

Q: A vehicle accelerates down an on ramp and eventually reaches highway speed. The position of the…

A: The position of the particle at any time is given by the equation: x(t) = At2t +B Now as the…

Q: Given the quantities a=4.5 m, b=1.4s, c=43 m/s, what is the value of the quantity d = cb²

A: We are given 3 physical quantities. We are given the values also for those physical quantities. We…

Q: The head injury criterion (HIC) is used to assess the likelihood of head injuries arising from…

A: Let F denote the force, m denote the mass, aavg denote the average acceleration. Therefore,

Q: The acceleration of an object is given by a = 3.0 t2 -2.0 t +1.0 (m / s2). Determine the velocity at…

A: Given: Acceleration is given by, Initial velocity vo = 2 m/s.

Q: A particle moves along the x axis according to the equation x = 1.92 + 3.03t – 1.00t“, where x is in…

A:

Q: A basketball player jumps straight up for a ball. To do this, he lowers his body 0.280 m and then…

A: See below

Q: A rocket sled having an initial speed of 107 mi/h is slowed by a channel of water. Assume that…

A:

Q: A sphere is fired downward into a medium with an initial speed of 37 m/ S. If it experiences a…

A: Guven that,The initial velocity of sphere is u=37msThe deacceleration of sphere is a=-6tms2here the…

Q: A car is traveling at the speed of V m/s on a straight, level road. After the brakes are applied at…

A: Given: the position of car , s = (1/112)(t^3) - t^2 + 10t, the velocity of car ,v = ds /dt…

Q: A basketball player jumps straight up for a ball. To do this, he lowers his body 0.330 m and then…

A:

Q: A rocket is launched vertically from rest reaching an altitude of 5.2 km after 16 s. of constant…

A: Note: As per the complany guidelines only first 3 subparts are solved in this session. Please repost…

Q: The shadow of a pendulum cast on a flat board moves on a straight line. By placing the x-axis on the…

A: Givenx(t)=74 cos(πt)

Q: A basketball player jumps straight up for a ball. To do this, he lowers his body 0.310 m and then…

A:

Q: Over a time interval of 1.52 years, the velocity of a planet orbiting a distant star reverses…

A:

Q: An object moves along a straight line and experiences a constant acceleration of +1.36 cm/s2. At t =…

A:

Q: A basketball player jumps straight up for a ball. To do this, he lowers his body 0.320 m and then…

A:

Q: An indestructible bullet 2.00 cm long is fired straight through a that is 10.0 cm thick. The bullet…

A: Average acceleration refers to the rate at which the velocity changes. Here, we calculate  the given…

Q: A basketball player jumps straight up for a ball. To do this, he lowers his body 0.290 m and then…

A: in this question we use equation  of motion.

Q: A particle moves according to a law of motion s = f(t) = t³ - 15t² + 72t, t≥ 0, where t is measured…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: A prototype vehicle, the Integrator, is performing a test run, accelerating from 0 to 60 mph. It has…

A: according to the question the velocity curve is given by, v(t) = 6t2 - 4sin(2t) we know velocity is…

Q: The (c) answer is incorrect, the height the flea gets should be 0.051 m, not 4.95 x 10 ^ -6. Because…

A: a) Apply the third kinematic equation to determine the acceleration of flea.

Q: 1. The position of the bumper of a moving car is given by x(t) = a + bt² – d® where a = 2.17 m, b =…

A: Consider the given data as below. Position of the car, xt=a+bt2-ct6 Here, a=2.17 m;  b=4.80 ms2;…

Q: A woodpecker's brain is specially protected from large accelerations by tendon-like attachments…

A: We have to find the acceleration of woodpecker's brain.

Q: Consider a grey squirrel falling from a tree to the ground. Use a coordinate system in which…

A: The squirrel starts its fall from a height of 1.3 m above the ground. This squirrel falls under the…

Newton's Second Law

Newton’s laws of motion describe the relationship between the motion of an object and forces acting on it. Newton’s law of motion has two types as follows: