A 69-kg base runner begins his slide into second base when he is moving at a speed of 4.6 m/s. The coefficient of friction between his clothes and Earth is 0.70. He slides so that his speed is zero just as he reaches the base. (a) How much mechanical energy is lost due to friction acting on the runner?  J (b) How far does he slide?  m

Q: c. A ball is shot from the ground straight up into the air with initial velocity of 49 ft/sec.…

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Q: (d) When does it hit the ground? (e) With what velocity does it hit the ground?

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A: Initial kinetic energy is Final kinetic energy is

Q: a particle moves along a straight line with an acceleration of a= 4sin pye t divided by 2 m/s…

A: Given,      a = 4 sinπet2   dvdt = acceleration

Q: sw A baseball diamond is a square with side 90 ft. A batter hits the ball and runs toward first base…

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Q: A 80-kg cyclist on a 19-kg bicycle starts coasting on level ground at 30 m/sec. Use v = vo e (-k/m)t…

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Q: Two particles have positions at a time t given by the equations x1=t3-t and x2=6t2-t3 find the…

A: If x(t) represents position at time t then velocity = v(t) = dx/dt and acceleration = a(t) = dv/dt =…

Q: A bicyclist accelerates at a constant rate from a standstill to 25 km/hr in 36 sec. a) How fast is…

A: We will solve the problem

Q: A projectile is released with an initial (vertical) velocity of 110 m/s. Use the formula…

A: The velocity of particle at any time t is When the particle reach its maximum height , its velocity…

Q: You throw a ball (from ground level) of mass 1 kilogram upward with a velocity of v = 27 m/s on…

A:

Q: A ball is thrown upward from a height of 6.5 m at an initial speed of 61 m/sec. Acceleration…

A: here we have .................initial height .................initial velocity ..............gravity

Q: A ball is thrown upward from a height of 0.1 m at an initial speed of 36 m/sec. Acceleration…

A: Given the initial velocity of the ball is u=36 m/s, the acceleration is f=-9.8 m/s2 and was launched…

Q: 5. If a rock is thrown vertically upward from the surface of Mars with velocity 15 m/s, its height…

A:

Q: Consider a falling object of mass 5 kg that experiences the drag force, which is assumed to be v =…

A: We will solve the differential equation to get velocity at time t , The for limiting velocity find…

Q: 7. Amy is hauling a toy car of mass 4 kg which was at rest earlier on the floor. If 50 N is the…

A: Explanation of the answer is as follows

Q: The forward motion of a SpaceX Dragon, t seconds after touchdown, is described by s(t) = 198t – ti,…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: Suppose that a particle moves along a straight line with velocity v(t) = 13 – 2t, where 0 <t < 3 (in…

A: Given vt=13-2t, 0≤t≤3,t=3

Q: 32. In a healthy person of height.x inches, the average pulse rate in beats per minute is modeled by…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

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A: Velocity and acceleration

Q: A ball is thrown upward from a height of 0.9 m at an initial speed of 24 m/sec. Acceleration…

A:

Q: If a rock is thrown vertically upward from the surface ofMars with velocity 15 m/ s  , its height…

A: Given that a rock is thrown vertically upward from surface of Mars with velocity 15 m/s. Its height…

Q: A ball is thrown upward from a height of 3.6 m at an initial speed of 63 m/sec. Acceleration…

A:

Q: An object is thrown straight up with a velocity, in ft/s, given by v(t)=−32t+47v(t)=−32t+47, where…

A:

Q: If a rock is thrown vertically upward from the surface of Mars with velocity 15 m/s, its height…

A: Given:         h=15t-1.86t2    Height of rock h(t)=25m        15t-1.86t2=25   rewrite in the form of…

Q: .A ball is thrown upward from a height of 15 feet with an initial upward velocity of 5 ft/sec. Use…

A:

Q: 4. The acceleration due to gravity is -9.8 meters per second squared. An object is thrown upward…

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Q: Suppose velocity of a car starting from rest is modelled by equation V(t)= In(4t^3 + 1) m/s What…

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Q: An object with an initial velocity of 40 m/s undergoes an acceleration of a(t) = 12t – 10 m/s“, t…

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Q: A sky diver weighing 192 lb (including equipment) falls vertically downward from a very high…

A: Given:

Q: A train moves at a velocity of v(t)= 3t" - 3200t km/sec where t in seconds is the time passed since…

A: Find your answer below

Q: If a ball is thrown vertically upward from the roof of 4848 foot building with a velocity of 6464…

A: s(t) = 48 + 64t - 16t2Hence, s’(t) = 64 – 32ts”(t) = - 32When s is maximum, s’(t) = 0; hence 64 –…

Q: A ship leaves port at 2:00 PM and travels S30°E at the rate of 50 km/hr. Another ship leaves the…

A: Given that a ship leaves a port at 2:00 PM and travels S30degree East at the rate of 50km/hour and…

Q: A ball is thrown upward from a height of 4.6 m at an initial speed of 48 m/sec. Acceleration…

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Q: The skid marks made by an automobile indicate that its brakes were fully applied for a distance of…

A: Given - The skid marks made by an automobile indicated that its break were fully applied for…

Q: 9. If a rock is thrown vertically upward from the surface of Mars with velocity 15 m/s, its height…

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A: Solve the following

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A: Use formula of surface area of shpare and take derivative of that than put given values.

Q: A raindrop falls with acceleration 9.8 m/sec² , where "v" is its velocity. What is the raindrop's…

A:

Q: The velocity of any object, vgliding into atmosphere can be approximated as: V -mg (1-e²) C If the…

A: The velocity of sound at sea level is about 340 m/s. Newton-Raphson method uses the formula:…

Q: A ball is thrown upward from a height of 1.5 m at an initial speed of 45 m/sec. Acceleration…

A: Given that the initial speed=v0=45Initial height=h0=1.5Acceleration=a=-9.8So using the relation…

Q: 3. After the blast-off, a space shuttle climbs vertically and a radar-tracking dish, located 1,000…

A:

Q: What is the velocity at time t for a car that begins accelerating at a rate of 4 feet per second…

A: Given query is to find the velocity.

Q: If a rock is thrown vertically upward from the surface ofMars with velocity 15m/s , its height after…

A: Given: If a rock is thrown vertically upward from the surface of Mars with velocity 15m/s, its…

Q: (a) Find the velocity of the particle at time t. s'(t) = (b) When is the velocity 0? (Use n as the…

A: Follow the procedure given below.

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…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.