a driver is traveling in a curved section of a roadway with a diameter of 1mi the driver is traveling at a velocity of 100 ft/s and suddenly applied brakes causing the car to slow down at a constant rate. if after 0.25mins the speed reduced to 25 mph. a) determine the car's tangential acceleration. b) Determine the car's normal acceleration. c) what was the car's acceleration after applying brakes?

3. In the given system, determine; a) the vertical velocity of the rack (VR). b) acceleration of point B if the angular acceleration of AB is 2 rad/s². 12 cm A 10 rad/s -6 cm- 10 cm -16 cm- -6 cm- 6 cm D 1₂.

A launcher is able to move a projectile up its barrel as position = 0.4t2 + 0.4e1t meters. What is the projectiles acceleration at 0.05 seconds?

Question 1 a) Explain the motion of a projectile in terms of acceleration and velocity in vertical and horizontal direction. b) Determine the magnitude VA of the basketball's initial velocity and its velocity when it passes through the basket shown in Figure Q1(b). (Neglect the size of the ball 30° 2m 10 m- Figure Q1(b) B 3 m

Question #1: The motor turns gear A with a constant angular acceleration, aA from rest. The cord is wrapped around pulley B. 3 rad/s2, starting a) Indicate the direction of motion of C (upwards of downwards) based on the given figure b) Find the velocity of cylinder C and the distance it travels in 5 seconds. rA=0.1m rg=0.05m ад 3D 3 rad/s? A B C

a. In a skyscraper, an elevator takes 55 s to descend from the top floor to ground level, a distance of 400 m. What is the average speed of the evelator for this trip? b. The elevator is at rest at the beginning and at the end of the trip. If you wanted to program the elevator so that it completes the trip in the specified time with a minimum acceleration and a minimum deceleration, how would you have to accelerate and decelerate the elevator? What would be this minimum value of the acceleration and deceleration? What would be the maximum speed during the trip?

A rope of length L = 2.4 m and mass m = 3.9 kg is initially at rest and can slide on an inclined surface with incline 0 = 25° as shown in the figure. Assume that the part of the rope that is not on the inclined surface hangs down vertically at all times and that the static friction coefficient between the rope and the surface is μ = 0.54. 0/

Problem 2 A car starts from rest and reaches a speed of 20m/s after traveling 125m along a straight road. a. Determine its constant acceleration (in m/s?). 1 1.6 C. D. 2.6 DQUESTION 9. b) Determine the time of travel (in second). A. 2.5 12 C. 1.6 D. 12.5 A. B. B.

2 د الحركة في بعد واحد.. . . Question #2 A race car, traveling at constant speed, makes one lap around a circular track of radius rin a time t. The circumference of a circle is given by C= 2nr. Which one of the following statements concerning this car is true? a) The displacement of the car does not change with time. b) The instantaneous velocity of the car is constant. c) The average speed of the car is the same over any time interval. d) The average velocity of the car is the same over any time interval. e) The average speed of the car over any time interval is equal to the magnitude of the average velocity over the same time interval. Question #3 A turtle and a rabbit are to have a race. The turtle's/ 10 average speed is 0.9 m/s. The rabbit's average speed is 9 m/s. The distance from the starting line to the finish line is 1500 m. The rabbit decides to let the turtle run before he starts running to give the turtle a head start. What, approximately, is the maximum time the rabbit can…

Dynamics: Particle kinematics Block B moves downward with a constant velocity of 20 mm/s. At t = 0, block A moves upward with constant acceleration and its velocity is 30 mm/s. If it is known that at t = 3 s the sliding block C has moved 57 mm to the right, determine: (a) the velocity of the sliding block C at t = 0. b) the accelerations of A and C c) the change in the position of block A after 5 s.