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 flagpole is 40 feet high and stands on level ground. A flag is attached to a 120 foot rope passing…

A:

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 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: An airplane ascends 400 ft at a constant rate as it flies a horizontal distance of 1000 ft. How much…

A: Given that an airplane ascends 400 ft. At constant rate as it flies a horizontal distance 1000ft. We…

Q: A driver involved in an accident claims he was going only 25 mph. When police tested his car, they…

A: Assume u is the initial velocity, v is the final velocity, a is the acceleration and s is the…

Q: A rocket is rising at a constant speed of 5 mi/s. A person is filming from their car on a straight…

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Q: A ball is shot from the ground straight up into the air with initial velocity of 48 ft/sec. Assuming…

A: to find the height attained by ball given initial velocity u = 48 ft/s

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.