Motion in One Dimension Problems MC Questions 2. A motorcycle is moving with a speed v when the rider applies the brakes, giving the motorcycle a constant.

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Presentation transcript:

Motion in One Dimension Problems MC Questions 2

A motorcycle is moving with a speed v when the rider applies the brakes, giving the motorcycle a constant deceleration. During a time t, immediately after braking begins, the speed decreases to v/2. What distance does the motorcycle travel from the instant braking begins until the motorcycle stops? Stopping a motorcycle 1 Let v = 22.0 m/s and t = 4.00 s, calculate the distance required to stop the motorcycle.

A sprinter acquires a top speed v while running a race length D. If the sprinter starts from rest and accelerates at a constant rate, he is able to reach his top speed in a distance d. He is then able to maintain this top speed for the remainder of the race. What is his time required for the sprinter to run the race? Running a Race 2 If v = 11.0 m/s, d = 12 m, and D = 100 m, calculate the time required for the sprinter to run the race.

On a dry road a car with good tires is able to brake with a constant deceleration of  4.92 m/s 2. If the car is initially traveling at 24.6 m/s, (a) how much time is required to stop? 3 (b) how far does it travel in this time?

The maximum acceleration of a subway train is, and subway stations are located a distance d apart, (a) what is the maximum speed a subway train can attain between stations? 4 (b) what is the travel time between stations?

Solutions

A motorcycle is moving with a speed v when the rider applies the brakes, giving the motorcycle a constant deceleration. During a time t, immediately after braking begins, the speed decreases to v/2. What distance does the motorcycle travel from the instant braking begins until the motorcycle stops? Stopping a motorcycle 1

A motorcycle is moving with a speed of 22.0 m/s when the rider applies the brakes, giving the motorcycle a constant deceleration. During a time of 4.00 s, immediately after braking begins, the speed decreases to 11.0 m/s. What distance does the motorcycle travel from the instant braking begins until the motorcycle stops? Stopping a motorcycle 1

v t t1t1 t2t2 d D  d The time required to run the race t = t 1 + t 2 Running a Race During acceleration Constant speed 2

The time required for the sprinter to run the race? Running a Race 11 t t1t1 t2t2 12 m 88 m 2

On a dry road a car with good tires is able to brake with a constant deceleration of  4.92 m/s 2. If the car is initially traveling at 24.6 m/s, (a) The time required to stop the car. 3

On a dry road a car with good tires is able to brake with a constant deceleration of  4.92 m/s 2. If the car is initially traveling at 24.6 m/s, (b) The distance the car travels in this time. 3

v max t a a (s) a) The maximum speed a subway train can attain between stations 4

v max t a a (s) a) The travel time between stations. Time to travel half way 4 Total time for trip