A car traveling at 60 mi/h (88 ft/s) skids 176 ft after its brakes are suddenly applied. Under the assumption that the braking system provides constant deceleration, what is that deceleration? For how long does the skid continue?

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: What is the daredevil’s acceleration at t = 3 seconds?

A:

Q: The State of Illinois Cycle Rider Safety Program requires motorcycle riders to be able to brake from…

A:

Q: a car braked with a constant deceleration of 20ft/s^2, producing skid marks measuring 350 ft before…

A: Measuring distances in feet and time (starting with the brakes being applied ) in seconds we have…

Q: To what constant deceleration would a car moving along a straight road be subjected if the car were…

A: The first equation of motion states that, v = u+at, here v is the final velocity, u is the initial…

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

A:

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

A: Given  final velocity=v=0 msdeceleration=a=20ms2Distance cover by the car before  come to stopy=75…

Q: If the work required to stretch a spring 5 feet beyond its natural length is 15 foot-pounds, how…

A: first, we need to find the spring constant  W=∫0a fxdx here we have W=15 and a=5 feet 15=∫05 fxdx…

Q: A car traveling at 42 ft/sec decelerates at a constant 44 feet per second per second. How many feet…

A: Given,A car traveling at 42 ft/sec decelerates at a constant 4 feet per second.i.e., initial…

Q: Fireworks are fired up from a platform 3 ft. above the ground with an initial velocity of 125 ft/s.…

A: Given that: Fireworks are fired up from a platform 3 ft. above the ground with an initial velocity…

Q: With snow on the ground and falling at a constant rate, a snowplow began plowing down a long…

A:

Q: A trough is 10 ft long and its ends have the shape of isoscelestriangles that are 3 ft across at the…

A:

Q: What constant acceleration is required to increase the speed of a car from 20 mi/h to 45 mi/h in 5…

A:

Q: A girl flies a kite at a height of 300 ft, the wind carrying the kite horizontally away fromher at a…

A:

Q: An auto A is moving at 20 ft/s and accelerating at 5 ft/s2 to overtake an auto B which is 384 ft…

A:

Q: Question 4

A: Let a be the acceleration, v be the velocity, s be the position and t be the time of braking.

Q: A 7,453 newton car is initially at rest. How much force (in Newton) is required to move the car by…

A:

Q: The side of a cube increases at a rate of 10m/sec,then the rate at which the area of the cube…

A:

Q: Suppose a cyclist was using a 150-millimeter-diameter chainring and an80-millimeter- diameter…

A: Given: Let, dc  and rc denotes the diameter and radius of Chainring respectively and ds  and  rs…

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: 1. A car is travelling at 50 mi/hr when the breaks are fully applied, producing a constant…

A:

Q: The side of a cube decreases at a rate of 9 m/sec Find the rate at which the volume changes, when…

A:

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 car traveling at 46 ft/sec decelerates at a constant 7 feet per second per second. How many feet…

A:

Q: a large gear with 42 rotates at 25 rpm. it turns a small gear with 14 teeth. how fast does the small…

A:

Q: A car traveling at 46 ft/sec decelerates at a constant 8 feet per second per second. How many feet…

A:

Q: How far above the surface of the Earth would he have to go to "lose" 13 % of his body weight?…

A: Follow the procedure given below.

Q: A car travels in a straight line.  It increases its speed from 22 m/s to 28 m/s with a constant…

A: Since distance formula for constant acceleration is  v2=u2+2ax where v is final velocity, u is…

Q: a of 3 inche tall and has a radius of 2 inches How fast does the water level rise when the water is…

A:

Q: A trapezoidal trough is 10 ft long, 4 ft wide at the top, 2 ft wide at the bottom and 2 ft deep. If…

A:

Q: The side of a cube decreases at a rate of 7 m/sec. Find the rate at which the volume changes, when…

A:

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

A:

Q: The side of a cube decreases at a rate of 7 m/sec. Find the rate at which the volume changes, when…

A:

Q: How long does it take the rock to reach half its maximum height? How long is the rock aloft?

A: Given : velocity of rock thrown vertically upward = 8 m/sec Height, s = 8

Q: A car braked with a constant deceleration of 40 ft/s2, producing skid marks measuring 80 ft before…

A: Deceleration = dv/dt And v = dx/dt where v is the velocity and x is the displacement Hence,…

Q: water pressure requirement at the roof

A: Given : High-rise building is 108 feet tall To find: How much pressure must be available at ground…

Q: A car braked with a constant deceleration of 18 ft/s2, producing skid marks measuring 100 ft before…

A:

Q: A computerized spin balance machine rotates a 25-inch-diameter tire at 480 revolutions per minute.…

A:

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

A:

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: The side of a cube decreases at a rate of 10 m/sec. Find the rate at which the volume changes, when…

A: Differentiate volume of cube wrt t

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: A stream containing 80 grams per liter of a dye is pumped into a mixing tank with 400 liters of…

A: The answer is 32kg

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: If the basketball hoop is 10 feet high and located 15 feet away, what initial velocity v should the…

A: It is given that the basketball hoop it 10 feet high and located 15 feet away.

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

A:

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.