Physical quantities - math word problems - page 152 of 298
Number of problems found: 5952
- Laura bike route
Laura went for a new bike ride. In an hour, her father followed her on the same route at 60 km/h speed and overtook her in 1/2 hour. a) Find the length of Laura's route in kilometers before her father catches up with her. b) Determine in kilometers per ho - Aircraft acceleration trajectory
The aircraft, which has a speed of 1080 km/h, starts moving for 1 minute with an acceleration of 1 m/s². What will be its final speed? What trajectory will he take at this minute? - Muesli
You want to mix your own muesli on a specialized website. 200 g of muesli base costs 170 CZK. You want to add cornflakes in chocolate to the basics. 50 g of this ingredient costs 13 CZK. How much do you pay for a 150 g mixture when both components weigh t - Ethanol turbine
How much power can we get if we pour ethanol on a mini turbine from a height of 1.5 m Volume Ethanol 0.2 m³. How much work does ethanol do? The casting time is 1.9 minutes. The density of ethanol is 789 kg/m². - Heating element power
A heating element with a resistance of 1.6 Ω is used to heat the car's rear glass. The body is connected to the battery in the car, which has a voltage of 12 V. a) What is the power input of the heating element? b) How much heat does the heating element g - Round-trip
A woman works at a law firm in city A, about 50 miles from city B. She must go to the law library in city B to get a document. Find how long it takes her to drive round-trip if she averages 40 mph. - Cycling Speed Comparison
Jerry cycled a 100-meter distance at a speed of 30 km/h. What speed would she have to go to get it in a time equal to the world record in the 100 m sprint (WR t = 9.58 s)? - Motion 2
At 10 o'clock started car from place A at speed at 90 km/h, twenty minutes after starting another car from place B at a 60 km/h speed. The distance between places A and B is 120 kilometers. What time and where do they meet? - G forces
Calculate car deceleration (as a multiple of gravitational acceleration g = 9.81 m/s²) when a vehicle in a frontal collision slows down uniformly from a speed 61 km/h to 0 km/h in a 1.1 meters trajectory. - Car
At what horizontal distance reaches the car weight m = 753 kg speed v = 74 km/h when the car engine develops a tensile force F = 3061 N. (Neglect resistance of the environment.) - Against each other
Two cars start simultaneously from points A and B, which are 29 km apart, and travel toward each other at speeds of 82 km/h and 72 km/h. How long until they meet, and what distance does each car travel? - Trip time shortening
A passenger car traveled the route from Trencin to Ruzomberok in 1 hour and 48 minutes. These two cities are 144 km apart. How many minutes would the driver shorten his return trip if he traveled an average of 90 km per hour? - The coordinates 2
The coordinates of the vertices of the triangle shown are A(1,7), B(5,2), and C(5,7). What is the length of segment AB in units? - Four sides of trapezoid
The trapezoid is given by the length of four sides: 40.5, 42.5, 52.8 35.0. Calculate its area. - Triangle ABC
There is the triangle ABC with the side BC of length 2 cm. Point K is the middle point of AB. Points L and M split the AC side into three equal lines. KLM is an isosceles triangle with a right angle at point K. Determine the lengths of the sides AB, AC tr - Two chords
Two parallel chords are drawn in a circle with a radius r = 26 cm. One chord has a length of t1 = 48 cm, and the second has a length of t2 = 20 cm, with the center lying between them. Calculate the distance between two chords. - Rectangle Dimensions Reduce Ratio
Reduce the dimensions of the rectangle with dimensions of 21 cm and 3 dm in a ratio of 4:6. In what proportion will the areas of both rectangles be? - Consider 6
Consider the following word problem: The temperature readings for 20 days at 1 AM at a local ski resort were recorded as follows: 9° 27° −4° 1° 5° 14° 6° 28° −2° 16° 30° 4° 20° 30° −5° 15° −7° 25° −1° 5° What was the average of the recorded temperatures f - Mice
Mice consumed a circular hole in a slice of cheese. The cheese is a circular cut with a radius of 20 cm and an angle of 90 degrees. What percentage of the cheese ate mice if they made 20 holes with a diameter of 2 cm? - Clocks
What distance will describe the tip of a minute hand 6 cm long for 20 minutes when we know the starting position with finally enclosed hands at each other at 120°?
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