A car starts moving at time t- 0 and goes faster and faster. Its velocity is shown in the following table. Estimate how far the car travels during the 12 seconds. t (seconds) 0369 12 Velocity (ft/sec) 10 254575

Q: Q4. A man 7 ft tall walks at a speed of 5 ft/sec toward a street lamp which is 15 ft above the…

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Q: (a) What is the cyclist's average speed, in mph, over the time interval [0, 1]? (b) What is the…

A: a) At t=0, distance=0 miles At t=1, distance= 12 miles So the average speed in the time interval…

Q: If an arrow is shot upward on the moon with a velocity of 58 ms, its height (in meters) after t…

A: When the arrow hits the moon then the height is 0. So, H=0 We will find t for H=0

Q: If a rock is thrown upward on the planet Mars with a velocity of 10m/s, its height (in meters) after…

A: This is application of derivative problem

Q: A bomb is dropped from a helicopter hovering at an altitude of 1076 feet above the ground. From the…

A: From the given information, the value of x=500 and x0=1076 and the value of g=32fts2. Substitute…

Q: Q4. A man 7 ft tall walks at a speed of 5 ft/sec toward a street lamp which is 15 ft above the…

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Q: Estimate the instantaneous velocity when t=3

A: We have to estimate the instantaneous velocity  when t = 3 Take the s - t graph

Q: If a ball is thrown straight up in the air with an initial velocity of 95ft/s, it's height in feet…

A: Given that: A ball is thrown straight up in the air with an initial velocity of 95ft/s, it's height…

Q: A particle that moves along a straight line has velocity v(t) = t'e-2t meters per second after t…

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Q: Suppose a ball is dropped from a height of 2500 feet. Its position at time t is s(t) =-9t² + 100.…

A: Given: s(t)=-9t2+100

Q: 7. A 6-ft tall man is walking away from a 15-ft tall street lamp at the rate of 5 ft/sec. How fast…

A: Given : A 6 ft tall man and a 15 ft tall street lamp and rate is 5 ft/sec

Q: 3. What is the velocity after 7 seconds?

A: Explanation of the answer is as follows

Q: The volume V, in liters, of air in the lungs during a five-second respiratory cycle is approximated…

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Q: The radius of a spherical balloon is increasing at a rate of 4 centimeters per minute. How fast is…

A: We have to find

Q: If a stone is dropped from 500 feet, its height after t seconds is given by: s(t) = 500 + 25t² Find…

A:

Q: Suppose a ball is dropped from a height of 4900 feet. Its position at time t is s(t)--16t + 100.…

A: This question is related to speed time and distance, We will solve it using given information.

Q: Suppose that a particle has been shot into the air in such a way that the rate at which its height…

A: v = 320 - 32tIf h represents the height of the particle at any time t, then:v = dh / dt = 320 - 2t

Q: Suppose a ball is dropped from a height of 900 feet. Its position at time t is s(t) average velocity…

A:

Q: A lady 1.65 meter tall walks towards a lamp post 2.65 meters high at a speed of 1.5 m/s. How fast…

A: Given : A lady 1.65 meter tall walks towards a lamp post 2.65 meters high at a speed of 1.5m/s.…

Q: What is the velocity (in ft/s) of a sandbag 0.25 s after it is released from a hot-air balloon that…

A:

Q: Suppose a ball is dropped from a height of 4900 feet. Its position at time t is s(t) = -9t2 + 900.…

A:

Q: Suppose a ball is dropped from a height of 4900 feet. Its position at time t is s(t) = -9t² + 400.…

A:

Q: A spotlight on the ground is shining on a wall 24m away. If a woman 2m tall walks from the spotlight…

A: Here we use the application of derivative

Q: An object is dropped from a 64-foot tower and reaches the ground in 2 seconds. What would the…

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Q: Suppose annual per capita sales of bottled water in a certain country in the period 2007-2014 could…

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Q: The graph of the acceleration a(t) of a car measured in ft/s is shown. Use Simpson's Rule with n = 6…

A: Given, a=0b=6n=6

Q: Suppose a ball is dropped from a height of 4900 feet. Its position at time t is s(t) = –16t2 + 900.…

A:

Q: A spherical balloon is inflated with hellium at the rateof 13727T m/min, How lastt balloon's rodius…

A: Given: dVdt=1372π m3/minr=7m

Q: A projectile is launched from ground level with an initial velocity of v0 feet per second.…

A:

Q: A projectile is shot upwards from the surface of the earth with an initial velocity of 120 meters…

A: To determine: The velocity of a projectile after 6 seconds and after 9 seconds where a projectile is…

Q: 3) A camera is located on the ground 3000 ft from the spot where a rocket takes off. If the rocket…

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Q: Jessi launched a toy rocket vertically upward having an initial velocity of 100 feet per second then…

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Q: the area, A, of a square is increasing at 6cm2 per minute. how fast is the side length of the square…

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Q: (c) If rc and re is the E. coli growth rate, determine the value of rc at 20 min to the most…

A: Given- C=kmax×t25+2t2+3.5t If rC=dCdt and rC is the E. coli growth rate, to determine the value of…

Q: If a rock is thrown vertically upward from the surface of Mars with velocity 80m/s, its height after…

A:

Q: A dynamite blast blows a heavy rock straight up with a launch velocityof 160 ft/sec (about 109 mph)…

A: Rock reaches a height of

Q: Suppose oil spills from a ruptured tanker and spreads in a circular pattern. If the radius of the…

A: Given oil is spilled from tank and it flowing  in a circular path with increasing radius of 2m/s .…

Q: A vehicle purchased for $29800 depreciates at a constant rate of 8%. Determine the approximate value…

A: cost price of vehicle=$29800 Constant rate of depreciates =8% per year We have to find the…

Q: How fast is the distance

A:

Q: An object is dropped from rest at a height of 350 feet on a planet where the acceleration due to…

A:

Q: Suppose a ball is dropped from a height of 4900 feet. Its position at time t is s(t) = –16t2 + 900.…

A:

Q: Consider the acceleration function of an object on a projectile motion is a (t) =-32. If v (0) = 32…

A:

Q: Suppose a rubber ball, when dropped from a given height, returns to a fraction p of that height. In…

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Q: A man is driving a car at a speed of 45 kph along a straight line passing 20 m in front of a 15 m…

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Q: Which vehicle has traveled farther at t = 2 seconds?

A: H

Q: Suppose a ball is dropped from a height of 900 feet. Its position at time t is s(t) = -16t2 + 100.…

A:

Q: A stuntman estimates the time T, in seconds, for him to fall x meters, 15. is T(x) = 0.54Vx. Find…

A: Instantaneous rate of change – It is the rate of change at each instant in time, not over a long…

Q: A particle that moves along a straight line has velocity v(t) meters per second after t seconds. How…

A:

Q: Suppose a ball is dropped from a height of 2500 feet. Its position at time t is s(t) = -9t2 + 900.…

A: