straight, level road. After the brakes are applied at t=0, the motion can be approximatd by x=t^3/100-t^2+17t where x is the distance traveled in meters and t is the time in seconds. What is the max acceleration
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- A student witnesses a flash of lightning and then t = 1.5 s later the student hears the associated clap of thunder.Sound travels at 343 m/s in the air. What distance from the student is the lightning strike, in meters? Light travels at 3.0 × 108 m/s in the air. How long, t1, in seconds did it take the light to reach the student's eyes after the lightning strike?Amel goes for a walk with a speed of 3kph. After 30 minutes of walk, his wife follows him. Walking 3.25 km for the first hour, 3.75 km for the second hour, 4 km for the third hour and so on maintaining a speed of .25 km per hour. How many hours does the wife take to catch up to her husband?The acceleration of a race car as a function of time is a(t) = kt, where a is measured in meters per second squared, t is measured in seconds and k is a constant. If its velocity at t = 0 is 2 m/s, and it is 26 m/s at t = 2 s, what is the value of the constant, k? * O 12 m/s^3 O 12 m/s^2 24 m/s^3 13 m/s^3
- The typical American man has a leg length of 0.85 m and walks at a speed of 1.4 m/s. A giraffe’s legs are 1.8 m long. At what speed do you expect a giraffe to walk? Hint: An animal’s speed is proportional to the length of its legs times the frequency of its strides.The following data were taken on five cars traversing a 1.6-km highway. Car Time (minutes) A 1.9 B 1.2 C 1.8 D 1.1 E 1.9 Determine the traffic density, in vehicles per km. Express your answer in 2 decimal places.The van travels over the hill described by y=(-1.5x10 ')x²+15) ft. If it has a constant speed of 71 ft/s, determine the x component of the van's velocity when x = 50 ft. y= (-1,5(10- + 15) ft 15 ft 100 t
- A person drops a rock from the edge of a cliff that is 1350 ft high. The initial acceleration is a=−32 ft/sec^2. 1. What is the velocity equation? Use t as the variable and v for the velocity.The acceleration of an object (in m/s2) is given by the function a(t)=8sin(t)a(t)=8sin(t). The initial velocity of the object is v(0)=−10v(0)=-10 m/s. Round your answers to four decimal places.a) Find an equation v(t) for the object velocity.v(t)v(t) = −8cos(t)−2Correct b) Find the object's displacement (in meters) from time 0 to time 3.3.4187Incorrect metersc) Find the total distance traveled by the object from time 0 to time 3. metersA runner wants to run 12.2 kmkm . She knows that her running pace is 6.8 mi/hmi/h . How many minutes must she run? Hint: Use 6.8 mi/hmi/h as a conversion factor between distance and time. Express your answer using two significant figures.