The jet car is originally traveling at a velocity of 12 m/s when it is subjected to the acceleration shown. Determine the car's maximum velocity and the time t when it stops. Plot the v-t curve. When t = 0, s = 0. a (m/s²) t (s) 15
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- An insect takes 8.03 minutes to walk 19.9 m toward the south along a deserted highway. A driver stops and picks up the insect. The driver takes the insect to a town 1.62 km to the north with an average speed of 15.6 m/s. What is the magnitude of the average velocity of the insect for its entire journey? Express your answer to 3 significant figures in meters/second.I don't understand how to do this problem. I tried taking the derivative, but that didn't give me the correct answer. I would really appreciate the help. When a 1984 Alpha Romeo Spider sports car accelerates in the x-direction at the maximum possible rate,its motion during the first 20. seconds is extremely well modeled by the simple equation vx2=(60 m2/s3)t, where t is time in seconds and vx is in m/s. In other words, the squareof teh car's velocity increases linearly with time. What is its acceleration after 3s, assuming that the car starts from rest at t=0 s?An engineer is testing how quickly a car accelerates from rest. The velocity V is measured in miles per hour, as a function of time t, in seconds, since the car is at rest. See the table below. What is the slope for the linear function modeling velocity as a function of time, V=, and what would the formula be for the velocity at time 0, V(0) Time (t) Velocity (V) 2.0 28.9 2.5 35.0 3.0 41.1 3.5 47.2
- The acceleration of a particle is a constant. At t=0 the velocity of the particle is (14.91 + 18.4ĵ) m/s. At t = 4.6 s the velocity is 11.4j m/s. (Use the following as necessary: t. Do not include units in your answers.) (a) What is the particle's acceleration (in m/s²)? = î+ 18.4 v(t) = (b) How do the position (in m) and velocity (in m/s) vary with time? Assume the particle is initially at the origin. r(t) = î+ X Î- i) m/s m/s9: An archer fires an arrow straight up into the air with a speed v0=35.6m/s. Neglect air resistance. a. Find the maximum height, hℎ, in meters, reached by the arrow. b. In terms of known quantities, write an expression for the time the arrow is in the air until it returns to launch height.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. meters
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- A car drives around a circular track of diameter 161 m at a constant speed of 47.4 m/s. During the time it takes the car to travel 256 degrees around, what is the magnitude of the car s average acceleration? Hint: Do not calculate instantenous accelleration. Instead calculte the average acceleration over the fraction of a complete lap. Average acceleration equals change in velocity divided by change in time, and that this is a two-dimensional situation so you'll have to calculate the x and y components of the average acceleration first and then figure out the magnitude. Remember also that ax = Δvx/Δt and ay = Δvy/Δt. 0 m/s^2 27.91 m/s^2 13.96 m/s^2 9.84 m/s^2We are standing on the top of a 720 feet tall building and launch a small object upward. The object's height, measured in feet, after t seconds is h(t) = - 16t2 +64t+ 720. = A) What is the object initial velocity? B) What is the highest point that the object reaches? ft/second feetA hot air balloon is moving vertically upwards at a constant rate of 9.0 m/s. As the balloon rises, a package is dropped from the balloon and it takes 5 s to hit the ground. How far did the package fall? Make sure to include a diagram of the physical situation, label known and unknown quantities with units, and coordinate system. Thanks!