Q2) An object falling from a roof has after t seconds a height h measured in feet given by h = 100 – 16 t². a) Find velocity and acceleration b) How fast is the object traveling when it hits the ground?

Q: A car is traveling at 88 ft /s when the brakes are fully applied, producing a constant deceleration…

A: Solve for the distance

Q: A car is traveling at 100 km/h when the driver sees an accident 80 m ahead and slams on the brakes.…

A: Given data:   The initial speed of the car is u=100 km/h. The given distance is s=80 m=0.08 km.…

Q: Can the distance traveled by a particle ever be less than its displacement? When are they equal?

A: No, the magnitude of the displacement is always less than or equal to the distance traveled.

Q: A body moves along a horizontal line in accordance to s t + 9t2 + 24t. Find the total distance…

A: Given query is to find the distance traveled by the body

Q: Assume the accleration of the object is a(t) = −32 feet per second per second. (Neglect air…

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Q: Grumpy, anti-social Professor Sosa loves standing on top of a 262 ft building and tossing water bal-…

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Q: A kite 160 feet above the ground moves in a direction parallel to the ground at the rate of 5 feet…

A: Let, x= the horizontal distance of the kite y=the length of the string Given that dx/dt=5 ft/sec  We…

Q: If s = t2 - t³, find the velocity when the acceleration is zero. Express your answer in decimal form…

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Q: Suppose that 2 J of work is needed to stretch a spring fromits natural length of 30 cm to a length…

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Q: The position from its starting point of a small plane preparing for takeoff is given by x(1) = 1.412…

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Q: A stone is thrown vertically upwards, from the edge of a 5 m tall cliff with an initial velocity of…

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Q: A 60-kg skydiver jumps out of an airplane. What is her terminal velocity, in meters per second,…

A: Given, Mass (m) of the skydiver = 60-kg, and k = 10-kg/s

Q: At the instant the traffic light turns green, a car that has been waiting at an intersection starts…

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Q: An automobile weighing 4500 lb is driven down a 5° incline at a speed of 60 mi/h when the brakes are…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: A coin of mass 0.05kg is dropped from the top of the Eiffel tower, which is 300m tall. It…

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Q: A volunteer rescue truck goes downhill to relocate families situated at the lowlands of Taal…

A: Given that the uniform speed of the truck is, v=3m/s Also given that the path is inclined at 35∘…

Q: A surveyor is walking at the rate of 4 ft/sec along the diameter of a circular courtyard. A light at…

A: The radius Courtyard be a using in polar coordinates  r as a function of θ. Now, the equation of…

Q: A man 1.69m m tall i s walking on a horizontal street at 3.2 kph away from a vertical street light,…

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Q: Shan, who is 2 meters tall, is approaching a post that holds a lamp 6 meters above the ground. If he…

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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: A jet ascends at a 10° angle from the horizontalwith an airspeed of 550 mi>hr (its speed along…

A: Given: A jet ascends at a 10° angle from the horizontal with an airspeed of 550 mi>hr. Let x be…

Q: A passenger is traveling on a luxury train that is moving west at 80 mph (miles per hour). While…

A: A passenger is travelling on a luxury train that is moving west at 80mph . While running the…

Q: Suppose that a car skids 15 m if it is moving at 50 km/h when the brakes are applied. Assuming that…

A: Given that car skids, 15 m if it is moving at 50 km/h when the brakes are applied. That is,

Q: A body has a mass of 11 kg falls freely from rest. After falling 553 m, what will its velocity be…

A: There are two methods for calculating the velocity.In first method by using the equation of motion…

Q: A bus is cruising at 40 miles per hour when suddenly the driver notices a deer on the road ahead of…

A: We need to find the stopping distance from the given information.Let s be the stopping distance.

Q: A Ferrari's position at time t is given by s(t) = t3 - 9t2 + 24t 2) What is the Ferrari's velocity…

A: Given:    s(t) = t3 - 9t2 + 24 t   Velocity at t = 0

Q: How much work (in J) is required to move a box that weighs 12 kg upward by 55 cm? Use the fact that…

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Q: 9. At noon, ship A is 160 km north of ship B. Ship A is sailing south at 40km/h and ship B is…

A: Given Ship A is 160 km north of ship B Ship A is sailing south at 40Km/h and ship B is sailing east…

Q: Recall that the player’s height above the floor is given by h = Vt − 16t2, where h is in feet and t…

A: First differentiate the function, h = Vt − 16t2 with respect to t to compute dhdt.  Solve the…

Q: The brakes of a car are applied when it is moving at 80 km/h and provide a constant deceleration of…

A:

Q: A car is moving at 60 mi/hr (88 ft/s) on a straight road when thedriver steps on the brake pedal and…

A: Given: u=88 feetsec, a=-10 fts2, t=3 seconds we know that s=ut+12at2…

Q: On Earth, you can easily shoot a paperclip 64 ft straight up into the air with a rubber band. In t…

A:

Q: A steel ball of mass 4 kg is dropped from a building. If the air resistance is equal to 0.371v, what…

A: Mass of ball m=4 kg Air Resistance =0.371v Now, the formula to find  velocity of ball at time t is:…

Q: At noon,ship a is 130 km west of ship b.Ship a is sailing east at 25 km/h and ship b is sailing…

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Q: A car is traveling at  100km/h when the driver sees an accident80 m ahead and slams on the brakes.…

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Q: A car braked with a constant deceleration of 8 ft/s2, producing skid marks measuring 100 ft before…

A: constant deceleration of 8 ft/s2  skid marks measuring 100 ft

Q: A car braked with a constant deceleration of 16 fts 2 , producing skid marks measuring 200 ft…

A: Given, deceleration a(t) = 16 ft/sec2. s(0) = 0 ft and s(T) = 200 ft and v(T) = 0. Where T is the…

Q: A 90 kg man lying on a surface of negligible friction shoves a 81 g stone away from himself, giving…

A: Explanation of the answer is as follows

Q: 6. Shan, who is 2 meters tall, is approaching a post that holds a lamp 6 meters above the ground. If…

A:

Q: 3. The commercial jets at 40 000 ft are flying at 520 mph along straight-line courses that cross at…

A: Here both intersect at right angle  So if we take the interesection is O  So OA = 5       OB = 12…

Q: An express train reducing its velocity to 40 km./h. , has to apply the brakes for 50 sec.. If the…

A: Rate of change of velocity is called acceleration. When there will be retardation,the sign of…

Q: The tempature at any point on a cordinate plane is T=3x2+4y2+5. What is the rate of change from the…

A: Note: We know that, We need to find the rate of change from the origin, considering it's the same…

Q: In 30 minutes, a thousand eight hundred tank of water empties from the bottom.The amount of water…

A: Proceed as shown below

Q: If a ball is thrown vertically upward with a velocity of 80 ft/s, then its height after tseconds is…

A: Given that, The ball height after t seconds is, s=80t-16t2 (a) The maximum of any function occurs at…

Q: Find the acceleration at a timet=6 min for a drone whose height is s(t) = 250t – 2tmeters

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Q: A car braked with a constant deceleration of 16 ft/s2, producing skid marks measuring 50 ft before…

A:

Q: An automobile weighing 4500 lb is driven down a 5° incline at a speed o 60 mi/h when the brakes are…

A:

Q: A ladder 13 meters long is leaning against a wall. If the bottom of the ladder is being pushed…

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