PHYS 1111 1nd EditionExam # 1 Study Guide Lectures: 1 - 6Chapter 1 and 2:- Scalar: Quantity specified by a single number or magnitude (ex. Temperature, speed, mass)- Vector: A quantity with both a magnitude and direction (ex. Force, velocity, displacement)- Kinematics: motion of object without reference to cause of motion- Dynamics: effects that forces have on the motion of objects- Statics: when objects don’t move- Displacement: ∆ x=xf−xi-Average Speed=distance∆ tvs. AverageVelocity=displacement∆ t- Acceleration=vxf−vxitf−ti- Example on displacement and velocity graph:- Motion in free fallo Acceleration is non-zero and constanto G=9.81 m/s2 or 32.2 ft /s2- IMPORTANT EQUATIONS:ov =vo+atox=xo+12(vo+v )tox=xo+vot+12a t2ov2=vo2+2 a(x−xo)Chapter 3 and 4:- Can’t add vectors like you add scalars (have to split x and y components)o X and Y are independent: v =vx+vy, a=ax+ay, d=dx+dy- -h=√x2+ y2 -Example :- Even if velocity of particle is zero, the acceleration is not necessarily zero. For example, if you throw a ball in the air, the acceleration is always –g, but at the top of the trajectory, the velocity is zero.More practice problems:1. A car is moving with a speed of 32 m/s. The driver sees an accident ahead and slams on the brakes, giving the car a deceleration of 3.5 m/s2. How far does the car travel after the driver put on the brakes before it comes to a stop?Solution: v2=vo2+2 a(x−xo) 02=322+2 (−3.5)(x) x = 146 m2. The slope of a line connecting two points on a position vs. time graph gives:a. instantaneous accelerationb. instantaneous velocityc. average velocityd. displacemente. average acceleration3. An object is thrown upwards with a speed of 13 m/s. How long does it take to reach a height of 4.0 m above the projection point while decending?Solution: x=xo+vot+12a t24¿0−13 t +12(9.81)t2t = 2.3 s4. A car starts at rest and accelerated at 6.00 m/s2. How far does it travel in 3.00 s?Solution: x=xo+vot+12a t2X = ½ (6.00)(3)2 = 27.0 m/s5. A rock is thrown at some angle above the horizontal with a certain velocity. It reaches its highest point and starts falling down. What is the velocity of the rock at the highest point of its trajectory?a. 0b. It is equal to its initial velocityc. 9.8 m/sd. it is equal to its initial velocitye. It is equal to its initial vertical