# physics

A motorist drives along a straight road at a constant speed of 15.0 m/s. just as she passes a parked police officer,the officer starts to accelerate at 2.00 m/s^2 to overtake her. assuming the officer maintains this acceleration, a) determine the time it takes the police officer to reach the motorist. find b) the speed and c) the total displacement of the officer as he overtakes the motorist.

1. 👍 0
2. 👎 0
3. 👁 560
1. a. d1 = d2,

15m/s * t = 0.5at^2,
15t = 0.5 * 2t^2,
15t = t^2,
t^2 - 15t = 0,
t(t - 15) = 0,
t = 0,
t - 15 = 0,

t = 15s.

b. d = 0.5 * 2 *(15)^2 = 225m.

1. 👍 1
2. 👎 0
2. post.

1. 👍 0
2. 👎 0

## Similar Questions

1. ### Physics

A motorist traveling with a constant speed of 15m/s passes a school-crossing corner, where the speed limit is 10m/s. Just as the motorist passes, a police officer on a motorcycle at the corner starts off in pursuit with constant

2. ### Physics

A car drives up a straight hill at a constant speed of 60 kilometers per hour. A truck drives over the crest of the hill at a constant speed of 60 miles per hour. What is the net force on the car and on the truck? 1. both not zero

3. ### physics

A motorist drives along a straight road at a constant speed of 15.0 m/s. just as she passes a parked police officer,the officer starts to accelerate at 2.00 m/s^2 to overtake her. assuming the officer maintains this acceleration,

4. ### Physics

Two cars are traveling along a straight road. Car A maintains a constant speed of 79 km/h and car B maintains a constant speed of 114 km/h. At t = 0, car B is 36 km behind car A. (a) How much farther will car A travel before car B

1. ### physics, dynamics

Car A starts from rest at t = 0 and travels along a straight road with a constant acceleration of 2 m/s2 until it reaches a speed of 27 m/s. Afterwards it maintains this speed. Also, when t = 0, car B located 2000 m down the road

2. ### physics

A motorist drives along a straight road at a constant speed of 15.0 m/s. Just as she passes a parked motorcycle police officer, the officer starts to accelerate at 2.00 m/s2 to overtake her. Assuming the officer maintains this

3. ### physics

a drunken motorist who is moving at a constant velocity of 90 km/h passes a stationary police patrol car. The patrol car immediately gives chase at a constant acceleration and catches up with the motorist after a distance of 10

4. ### Calculus

A balloon is rising at a constant speed of 5 ft/sec. A boy is cycling along a straight road at a constant speed of 15 ft/sec. When he passes under the balloon, it is 5 feet above him. Determine how fast the distance between the

1. ### Physics

A car is being driven along a country road on a dark and rainy night at a speed of 20 m/s. The section of road is horizontal and straight. The driver sees that a tree has fallen and covered the road ahead. Panicking, the driver

2. ### F/maths

X, Y and Z are three points on a straight road.A car passes X with a speed of 5m/s and travels from X to Y with a constant acceleration of 2m/s^2. The car then moves with a constant retardation of 3.5m/s^2 from Y to Z and comes to

3. ### physics(kinematics)

A police officer in a patrol car parked in a 70 Km/h speed zone observes a passing automobile might be intoxicated,the officer starts his car,accelerates uniformly to 90 Km/h in 8s ,and maintaining a constant velocity of 90

4. ### Math

A car travels along a straight road, heading east for 1 h, then traveling for 30 min on another road that leads northeast. If the car has maintained a constant speed of 48 mi/h, how far is it from its starting position? Round your