You are walking to your physics class at speed 1.0m/s with respect to the ground. Your friend leaves 2.0 min after you and is walking at speed 1.3m/s in the same direction. How fast is she walking with respect to you? How far does your friend travel before she catches up with you? Indicate the uncertainty in your answers. Describe any assumptions that you made

A pig on roller skates is moving with an initial velocity of -10 m/s and is accelerating at a rate of 2m/s/s, therefore the pig is __________during the next 2 seconds.

6. A train is moving with a constant speed. The train moves 60 meters for every 1.5 seconds that elapses. a. Assume that we get 40 by dividing 60 by 1.5. What is the name that is commonly given to a quantity represented by this number 40? b. To denote the quantity completely, what additional information must be given besides the number 40? c. How would you interpret the number 40 in this instance? Your answer should mention distance and time. d. Use your interpretation (not algebra) to find the distance the train moves in 2.5 seconds.

A stone is thrown straight up from the edge of a roof, 650650 feet above the ground, at a speed of 1616 feet per second.A. Remembering that the acceleration due to gravity is −32ft/sec2−32ft/sec2, how high is the stone 55 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?

A car is traveling due East at a rate of 36.2 kph and a train is due North at a speed of 74.70 kph and bound to meet at an intersection 1 km for the train and the car. a. Determine the acceleration of the car, If the car reaches the intersection 10 seconds ahead of the train. b. Determine the velocity of the car at the intersection.

1. The acceleration of a car is given by a(t) = A – Bt + Ct² , where A = 1.0 m/s², B = 0.5 m/s³, C = 2.0 m/s“. The car is at rest at the origin at time t= 0. Find its position and velocity as a function of time. b. Sketch its position, velocity, and acceleration. a.

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)?

Susan lives 1.85 km [E] from the school and her good friend, Mary, lives 1.14 km [W] from the school If it took Susan 35 minutes and 20 seconds to travel from her house to Mary's house, what would be Susan's average velocity, in m/s? 1.4 m/s [E] 1.41 x 103 m/s [W] 1.4 m/s [W] 0.335 m/s [E]

A remote-controlled car is moving in a vacant parking lot. The velocity of the car as a function of time is given by v⃗ =[ 5.00m/s − (0.0180m/s3) t2 ] i + [ 2.00m/s + (0.550m/s2) t ] j . a. What is the magnitude of the velocity of the car at t = 8.00 s? b. What is the direction (in degrees counterclockwise from + x-axis) of the velocity of the car at t = 8.00 s? c. What is the magnitude of the acceleration of the car at t = 8.00 s? d. What is the direction (in degrees counterclockwise from + x-axis) of the acceleration of the car at t = 8.00 s?