A car starts from rest at a station and runs with constant acceleration. The car is 140 ft from the station 2 sec after passing a point which isa 92 ft from the station. Four seconds after passing the 92 ft point, it is 198 ft from the station, and 6 sec after passing this point, it is 266 ft from the station.  a. What is the average velocity of the car during each 2-sec interval after passing the 92 ft point? b. What is the acceleration of the car? c. What was the velocity of the car when it passed the 92-ft point? d. How long did it take to go from station to the 92-ft point?

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A cheetah sees a gazelle running at a constant speed of 12.4 m/s. The gazelle is 15 m ahead of the cheetah. The cheetah starts from rest to chase (with constant acceleration) the gazelle. After 4.2 s the cheetah catches the gazelle. a.)Determine the distance that cheetah traveled before it catches the gazelle. b.) What is the acceleration of the cheetah? c.) What is the cheetah's speed when it catches the gazelle?

5. A small rock is thrown vertically upward with a speed of 12.0 from the edge of the roof of a 25.0 m tall building. The rock doesn't hit the building on its way back down and lands on the street below. Ignore air resistance. a. What is the speed of the rock just before it hits the street? b. How much time elapses from when the rock is thrown until it hits the street? c. Find the maximum height above the ground that the rock reaches. d. At what time after being released has the rock fallen 8.0 m below the roof edge? e. What is the ball's acceleration when it is 8.0 m below the roof edge? vy=25.18 m/s a. b. t = 3.79 s c. y 32.35 m d. t = 2.99 s e. ay = -9.8 m/s²

A stone is thrown straight up from the edge of a roof, 650 feet above the ground, at a speed of 16 feet per second.A. Remembering that the acceleration due to gravity is −32ft/sec^2, how high is the stone 5 seconds later?B. At what time does the stone hit the ground?C. What is the velocity of the stone when it hits the ground?

An object is thrown straight up with an initial velocity of 31 m/s. a. How high does it go in meters? b. How long is it in the air in seconds?

HOW?An automobile travels on straight road for 39km at 24km/h. If then continues in the same direction for another 39 km at 48km/h.  a. What is the average velocity of the car during his 78 km trip? (Assume that it moves positive direction) b. What is the average speed?

At 10:17 a.m., you pass a police car at 55 mph that is stopped on the freeway. You pass a second police car at 55 mph at 10:53 a.m., which is located 39 mi from the first police car. If the speed limit is 60 mph, can the police cite you for speeding? а. a. The total time between your two police car sightings was P hours. b. Your average speed between the two police car sightings was 8, mph. c. Can the police cite you for speeding? No, your average speed was less than the speed limit. CYes, since your average speed was more than the speed limit, there must have been somewhere within the 39 mi where you were driving more than 60 mph.

A car is driving on I-80 traveling at 75 mph. It passes a police officer on the side of the road who is stationary. The moment that the car passes the police officer, the officer accelerates at a constant rate of 20 ft/s2 until she reaches a speed of 80 mph. At that point, her speed is maintained.  a. How far does the police car travel before reaching its full speed (in ft)? b. How far does the car travel while the police car is speeding up (in ft)? c. How far does the police car travel before catching up with the car (in ft)?

You are driving down a straight road at night in your McLaren MCL34 Formula 1 racecar at an entirely illegal speed of 98 m/s when Bambi and Thumper jump onto the road in front of you. Because you were texting while driving (also illegal), your reaction time is a rather slow; 1.3 seconds before your foot touches the brake. How far did you travel during this time? O a. 98 m O b. 127 m O c. 101 m O d. 134 m O e. 112 m Clear my choice