Every variable in a kinematic equation (except for time) is considered a vector. Vector drawing practice: › While playing golf, you notice that the fairway doglegs to the right up ahead. If you’ve traveled 100 m so far, and it’s an additional 75 m to the right before you reach the green, what is the magnitude of the resultant displacement and the direction (angle) of your golf ball once you’ve reached the green?
To get to the football field from where you’ve parked your car, you must travel 28 o north of east for 0.48 km. Find the northward and eastward components of your trek.
(a) is the rate at which velocity changes. The equation to find acceleration is: a = (v f – v i ) t Also shown as v f = v i + at This is the only kinematic without displacement.
Displacement can be in either the x or y direction. The kinematic for displacement is: d = v i t + ½at 2 To solve this equation for time, you must use the quadratic equation, so don’t use this equation to solve for time.
This kinematic does not have a clever name, but it is the only kinematic you can use if time is not given. The equation is: v f 2 = v i 2 + 2a d Most common mistake: Take the square root to find either velocity!
The best 0-60 mph time listed for a mini cooper S is 6.9 seconds, whereas Mrs. Kittell’s MT mini cooper made 0-60 in 8.7 seconds. Hint: convert 60 mph to m/s first! › What were the mini cooper’s acceleration? › What is the difference in their acceleration? › (Is this worth the $4,000 price difference? )
After the mini cooper hits 60 mph, it slows down at a rate of -2.2 m/s 2 for 30 seconds. How far has the mini cooper traveled?
An individual in a truck decides to race a mini cooper. That individual floors it from a stop light and accelerates at a rate of 4.8 m/s 2 over a distance of 100 m. What was his final velocity?
The individual in the truck is speeding along at 31 m/s when he spots a deer 70 m in front of him in the road. It takes him 0.8 seconds to react, then he slams on his brakes and decelerates at a rate of 8.3 m/s 2 in an attempt to avoid the deer. Does he hit the deer? › Prove your answer by finding his stopping distance.
During a 100 m dash, the runners start off the blocks at the same time and the fastest accelerates at a rate of 1.6 m/s 2. How long does it take him and with what velocity does he reach at the finish line?