Physics

Problem 4- Speedy car, driving at 30 m/s. The driver suddenly observes a slow-moving van 155 m ahead traveling at 5 m/s in the same direction. The driver of the car immediately applies the brakes causing a constant acceleration of 2 m/s2 in a direction opposite to the cars velocity.
a) After the driver of the car applies the brakes, at what time the car will collide with the van?
b) Take x= 0 at the location of the car when the brakes applied, where does the collide with the van?

  1. 👍 0
  2. 👎 0
  3. 👁 390
asked by Maryam
  1. if the collide, they have traveled the same distance in the same time.

    distance van=155+5t
    distancecar=30t-1/2 *2*t^2

    set them equal, solve for time t.

    then using t, solve for car distance.

  2. t = 10.5 s

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Physics

    Speedy Sue during is driving at 30.0m/s and enters a 1 lane tunnel. She then observes a slow moving van 155m ahead traveling at 5.0m/s. She applies the brakes but can only accelerate at -2.0m/s^2 b/c road is wet. a) will there be

    asked by ~christina~ on September 24, 2007
  2. physics

    Speedy Sue, driving at 35.0 m/s, enters a one-lane tunnel. She then observes a slow-moving van 175 m ahead traveling at 5.50 m/s. Sue applies her brakes but can accelerate only at −1.40 m/s2 because the road is wet. Will there

    asked by lol on August 29, 2018
  3. physics

    Speedy Sue, driving at 35.0 m/s, enters a one-lane tunnel. She then observes a slow-moving van 175 m ahead traveling at 5.50 m/s. Sue applies her brakes but can accelerate only at −1.40 m/s2 because the road is wet. Will there

    asked by lol on August 29, 2018
  4. physics

    A car is moving at 25.0m/s on a straight highway lane. 10.0m in front of the car is a van that is travelling with the same speed. The van’s driver suddenly hits the brakes to avoid an obstruction, slowing down at a rate of

    asked by allyson on September 7, 2016
  5. physics

    Speedy Sue, driving at 30.0 m/s enters a one-lane tunnel. She then observes a slow-moving van 155m ahead traveling at 5.00 m/s. Sue applies her brakes but can accelerate only at -2.00m/s/s because the road is wet. Will there be a

    asked by angie on September 7, 2010
  1. physics

    A compact car, mass 755 kg, is moving at 1.00 ✕ 102 km/h toward the east. The driver of the compact car suddenly applies the brakes hard for 1.8 s. As a result, an average force of 5.8 ✕ 103 N is exerted on the car to slow it

    asked by Anonymous on November 26, 2013
  2. physics

    A compact car, mass 730 kg, is moving at 1.00 ✕ 102 km/h toward the east. The driver of the compact car suddenly applies the brakes hard for 1.9 s. As a result, an average force of 4.8 ✕ 103 N is exerted on the car to slow it

    asked by sarah on October 26, 2014
  3. physics

    A car is moving down a street at 51 km/h. A child suddenly runs into the street. If it takes the driver 0.62 s to react and apply the brakes, how many meters will the car have moved before it begins to slow down?

    asked by miranda on October 23, 2012
  4. Physics

    A car is moving down a street at 67 km/h. A child suddenly runs into the street. If it takes the driver 1.26 s to react and apply the brakes, how many meters will the car have moved before it begins to slow down?

    asked by Jake on February 6, 2014
  5. physics

    A car is moving down a street at 51 km/h. A child suddenly runs into the street. If it takes the driver 0.97 s to react and apply the brakes, how many meters will the car have moved before it begins to slow down?

    asked by mike on October 3, 2010

More Similar Questions