 Say you are moving inwards in a spiral. Does the centripetal force needed for this increase or decrease as you move?
- How does centripetal acceleration change when the radius decreases?
 Why are radians useful?
- If a2 = b2 + c2 then what is c in terms of a and b?
- The equation d = vt is applied to calculate the distance when time is given in seconds. If the speed is in units of centimeters per second what units will the calculated distance have?
- A problem is given with three variables, a, b, and c. The relationships between the variables are:
a = b + c
and
b = 2c
Is it possible to calculate a value for a with the information given? Why or why not?
- Write down three forms of the equation that relates speed, distance, and time. Each form should solve for a different variable.
- A = BC2 and A = DE
- Given B,C, and E, solve for D
- Given B,D, and E, solve for C
- How long does it take to ride 5 miles on a bicycle going 20 mph?
- The cheetah, the fastest land animal, can sprint at 30 m/s. Could the cheetah get a speeding ticket on a highway where the speed limit is 55 mph?
- Two cyclists that are 500 m apart start biking toward each other. They bike at speeds of 6m/s and 4m/s.
- How long does it take for them to reach each other?
- How far does the slower biker travel?
- A sprinter running at 9 m/s is chasing a long distance runner who runs at 7 m/s. The long distance runner starts 200 m ahead. However, the sprinter can only run for 2 minutes with out stopping. Does the sprinter catch the distance runner?
- Bill throws a ball up in the air at 17 m/s. How long will it take for it to fall back to him?
| | - Linda is out jogging at the constant speed of 3 m/s. She jogs past Maggie sitting on a bench with her bicycle, who starts riding off to catch her friend. She accelerates on her bicycle at 2 m/s2. How long does it taker her to catch Linda?
- Vinny is standing still on his motorcycle. 200 m away from him is a ramp leading to a jump over a canyon. He is being chased and has 8 s to get over the canyon before his pursuers catch him. How fast must he accelerate to make the jump?
- Trixie is driving laps at the racetrack. It is a circular track with a radius of 25 meters. After completing 2 full laps, what is Trixie's displacement?
- A car is traveling at 15 m/s. It goes down a hill where it accelerates at 3 m/s2 for 4 seconds. How fast is it going at the bottom of the hill?
- Clyde is driving down the highway at the 25 m/s speed limit when he sees the feds off the side of the road. Because he dislikes g-men, Clyde accelerates to 45 m/s in three seconds. What was Clyde's acceleration?
- A race car crosses the starting line traveling at 40 m/s. It then instantly starts to accelerate at 9 m/s2. How far does it travel in 5 s.
- A robot holding a bomb is 30 feet from the edge of a cliff. You have managed to hack into the robot and can now tell him what speed to travel at. If the bomb explodes in 6 seconds, what is the minimum speed the robot can move to get over the cliff in time to have that block the shock wave.
- Eve is standing at the top of a cliff. If she drops a rock off of the cliff and it takes 2.5 s to hit the ground, how tall is the cliff?
- Jane is riding her bicycle at 10 m/s when she begins to decelerate at 1.5 m/s2.
- Howe long will it take Jane to stop?
- How far will she have traveled in this time?
- What is the weight of a 50 kg woman at the top of Jupiter's atmosphere where g = 24.8 N/kg? Give your answer in both newtons and pounds.
- You have 10 kg of coconuts.
- How many kilograms of bananas have the same mass?
- How many pounds is this?
- When testing a spring, you find that it takes 20 N of force to compress the spring in 10 cm. What is the spring constant for this spring?
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