NOTE: USE V, =initial velocity a = acceleration x= distance or displacement V= final velocity t= time 1. The driver of a car traveling at 60 miles /h applies the brakes and the car decelerates at a constant rate. What is the velocity (in mi/h ) of the car 0.8 mi farther along the road if the car reaches this point 1.5 min after the brakes were applied?
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- A particle moves according to a law of motion s = f(t), t ≥ 0, where t is measured in seconds and s in feet. (If an answer does not exist, enter DNE.) f(t) = t3 − 9t2 + 24t 1) Draw a diagram to illustrate the motion of the particle and use it to find the total distance (in ft) traveled during the first 6 seconds. 2) Find the acceleration (in ft/s2) at time t and after 1 second. 3) When is the particle speeding up and slowing down? (Enter your answer using interval notation.)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. 2. What is the displacement equation? Use t as the variable and s as the displacement. 3.What time did it hit the ground? (Hint: s=0) 4. What was the velocity just before impact?A driver traveling north slows down from 31.9 m/s to 0 m/s in 6.5 seconds. What is the magnitude of the driver's acceleration? The standard units for acceleration are "meters per second-squared" or "meters per second per second" and it's written as
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- A cart rolling down an inclined plane has an acceleration of 10 m/s2. If the cart has an initial velocity of 5 m/s, and a final velocity of 35 m/s, what is the rate of the acceleration per unit second?If the car's average velocity equals the total distance it covers divided by the total time, what is the car's average velocity for the entire journey in m/s? A car travels at 100 km/hr for 2 hrs, at 60 km/hr for the next 2hrs, and finally at 80 km/hr for 1 hr.(please make the solution clear)thank you in advanceYou leave your house and drive to your friend’s house, where you stay a while. Then you come back home. Which of the following must be true for your trip? A vehicle travels on a straight stretch of road. Its position coordinate x (km) measured from a reference point is given by the equation x = 4t3 + 21t2 + 18 t + 4 where t (hr) is the time measured from start of journey. After one hour, the velocity of the vehicle and the distance travelled are respectively: