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Notes: Test 1 Practice Problems
Terms in this set (23)
If a ramp is 15m long and making an angle of 32* with the horizontal, how high is the ramp?
You have a ramp that is 2.5m long and 1.7m high. What is the angle of the ramp with the horizontal?
Your friends house is 1500m North from your house, and then 1800m East. What is the distance between houses? What is the angle with East?
2343 m, 39.8*
You are boating 2m/s towards West. The water current is flowing 1.5m/s towards North. What is the speed of your boat?
An airplane started from rest on the runway and took 30 seconds to take off at a speed of 40m/s.
What was the rate of change of velocity? How far did it go on the ground?
a = 1.33m/s^2
∆x = 600m
A ball was kicked at a rate of change of velocity at 0.85 m/s2. After 40 seconds, the ball stopped.
What was the speed after it was kicked? Average speed? How far did it go?
Initial speed = 34m/s
Avg. speed = 17m/s
∆x = 680m
A ball was coming towards you at a rate of 15m/s. You then kicked the ball and it kept going for 50 seconds, and at that time it was 10m/s. The rate of change of velocity is 0.4m/s2. What was your initial speed when you kicked it? How far did it go?
A ball started off at 20m/s and after 200m was at 12m/s. How long did it take to go 200m?
A ball was dropped and hit the ground after 3 seconds.
How high was it dropped from? What is the velocity right before hitting the ground?
∆y = -44.1m
v = -29.4m/s
If you threw a ball down with a velocity of 15m/s and it hit the ground after 3 seconds, how high was it dropped and what is the velocity right before it hit the ground?
If a ball was thrown upwards at a velocity of 35m/s, where would the ball be after 4 seconds? What would be the final velocity?
If a ball was thrown upwards at a velocity of 35m/s, how long will it take to reach maximum height? How high is that point?
3.57 seconds, 62.5m
Vector Addition. A bar= 4x hat + 3y hat. Find A hat.
A hat= 0.8x hat + 0.6y hat
B bar= 13x hat + 10 y hat. Find the magnitude (|B bar|) and B hat.
|B(bar)| = 16.4
0.79x hat + 0.61 y hat
Vector Addition with Algebra. K bar= -3x hat + 2y hat. Q hat= 5x hat - 17y hat. Find K hat plus Q hat.
2x hat - 15y hat
V hat= 7x hat + 3y hat. What is v hat . v hat?
If A bar= 2x hat + 11y hat and B bar= 3x hat -y hat, What would be A bar • B bar?
A ball is thrown at 15 m/s at a 30˚ angle.
What is Vix and Viy?
How long would it take to reach max height?
Find position (∆x,∆y) at max height.
Vix= 13 m/s
Viy= 7.5 m/s
∆t = 0.77s atmax height
∆x= 10.01m and ∆y= 2.87m at max height
You throw a ball at a 40˚ angle and it takes 0.9 seconds to reach max height.
What is your initial speed? What is the location at max height? What is the location when it hits the ground?
Vi = 13.72 m/s
∆x= 9.45m and ∆y = 3.969m at max height
∆x= 18.9m and ∆y = 0m at the end
If a ball is rolling off a table at 10 m/s at a height of 12 m, how long will it take to hit the ground? What will be the impact speed?
1.57 s, Vf= 18.35
If a ball is rolling off of a table at 12 m/s and it takes 2 seconds to reach the ground, how high was the table? What is the impact speed?
-19.6 m, 22.98 m/s
If a ball is thrown at a 35* angle at 25 m/s, how far will the ball go on the ground?
If a ball is thrown at 30 m/s and it takes 3 seconds until it hits the ground, what angle did you throw it at? How high did it go? How far did it go?
29.34*, 11.025 m, delta x= 78.45 m
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