# Physichs

posted by .

A pedestrian is running at his maximum speed of 6.0m/s to catch a bus stopped by a traffic light. When he is 25m away from the bus the light changes and the bus accelerates uniformly at 1.0m/s^2. Find either (a) how far he has to run to catch the bus or (b) his frustration distance(closest approach)

• Physichs -

a. d2 = d1 - 25,
6t = 0 + 0.5*1t^2 - 25,
6t - 0.5t^2 + 25 = 0,
-0.5t^2 + 6t + 25 = 0,
Uswe Quadratic Formula to find t:
t = 15.27s.

d = Vt = 6 * 15.27 = 91.6m.

• Physichs -

10m

## Similar Questions

1. ### Physics

A personne walking at a speed of 1.7m/s see's a stoped bus 25m from him. At this moment this person starts to run with an acceleration of 1,3m/s2. After 4 secondes this personne has reached his maximum speed et it stays constant, but …
2. ### Physics

Can someone please tell me if I've approached this homework problem correctly. A boy is running at his best speed of 6.0 m/s to catch a bus stopped at the lights. When he is 16 m from the bus, the light goes green and the bus pulls …
3. ### PHYSICS

A student is running at her top speed of 4.6 m/s to catch a bus, which is stopped at the bus stop. When the student is still a distance 38.9 m from the bus, it starts to pull away, moving with a constant acceleration of 0.177 m/s^2. …
4. ### AP Physics

Jack is 12m from the bus and is running towards the bus at a constant 4.0m/s. If the bus accelerates away from the bus stop at .8m/s^2, can he catch the bus?
5. ### Physics? clueless on what to do

Jack is 12m from the bus and is running towards the bus at a constant 4.0m/s. If the bus accelerates away from the bus stop at .8m/s^2, can he catch the bus?
6. ### physic

A man is running at speed c (much less than the speed of light) to catch a bus already at a stop. At t=0, when he is a distance b from the door to the bus, the bus starts moving with the positive acceleration a. Use a coordinate system …
7. ### algebra

A bus is traveling at a speed of 15 m/s^2. The driver approaches the same traffic light in another traffic lane. He does not brake, and continues at the same speed. Write an equation for the distance the bus travels in time (t) (Hint: …
8. ### Physics

Traveling in the city its faster to take a bicycle than a bus, one reason for this is that a bike can accelerate faster than a bus. Let’s say a Bike and bus both stopped at a red light and both takes off an exact same time when the …
9. ### Physics

A physics student who is late for school is trying to catch her bus. The student is 10 m behind the bus as the bus starts from rest and begins to accelerate at 0.5 m/s2 away from her. If the student continues running at a steady 3 …
10. ### science

When the front of a 5.0 m long bus traveling at a constant speed of 20 m/s is 55 m away from an intersection, the traffic light turns yellow. It will take 3.0 s before the traffic light turns red. The driver’s reaction time is 0.25 …

More Similar Questions