The leader in a race has 500m to go and is running at a constant speed of 4m/s, but with 100m to go increases her speed by a constant acceleration of 0.1m/s^2. The second runner is 100m behind the leader when the leader has 500m to go, and running at 3.8m/s when she starts to accelerate at a constant rate. Find the minimum acceleration she needs in order to win the race.

The leader in a race has 500m to go and is running at a constant speed of 4m/s, but with 100m to go increases her speed by a constant acceleration of 0.1m/s^2. The second runner is 100m behind the leader when the leader has 500m to go, and running at 3.8m/s when she starts to accelerate at a constant rate. Find the minimum acceleration she needs in order to win the race.

Similar questions

The engineer of an intercity train observes a rock slide blocking the train's path 550 m ahead and activates the train's emergency brakes. The train decelerates uniformly (Hint: negative acceleration) at 1.7 m/s and completely stopes just before hitting the rock. What is the initial speed of the train measured in m/s?
If a driver is initially going 35.5m/s to the left and then slams on the brakes to accelerate at a magnitude of 3.8m/s/s until she comes to a complete stop. If she started applying her brakes at a position of 102m from zero, then where is her final position from zero?
A car traveling 52.7 km/h is 24.2 m from a barrier when the driver slams on the brakes. The car hits the barrier 1.93 s later. (a) What is the car's constant deceleration magnitude before impact? (b) How fast is the car traveling at impact?
Suppose a cyclist is going 20m/s (44mph) at the end of a race, and begins coasting after crossing the finish line. The coasting cyclist has a velocity-dependent acceleration (in the x-direction) given by ag = -(0.01lm-1)v², which is negative because they are slowing. Ignoring time, find how far the cyclist will have traveled beyond the finish line when they are rolling at a speed of 10m/s.
A car traveling 56.0 km/h is 24.0 m from a barrier when the driver slams on the brakes. The car hits the barrier 2.00 s later. (a) What is the magnitude of the car’s constant acceleration before impact? (b) How fast is the car traveling at impact?
A car has an initial velocity of 17.8 m/s (SOUTH). The car has an unknown acceleration for a time of 7.11 seconds, at which point the car has a final velocity of 4.20 m/s (NORTH). During this time what is the car's displacement?
At time t=0 a stone is dropped from a bridge. Δt=1.1 s later a second stone is thrown down. Both stones hit the ground 40 meters below the bridge at the same time. What was the initial velocity of the second stone? Use g = 10m/s/s and answer to the 0.1 m/s.
The driver of a truck slams on the brakes when he sees a tree blocking the road. The truck slows down uniformly with an acceleration of -5.60 m/s2 for 4.20 s, making skid marks 62.4 m long that end at the tree. With what speed does the truck then strike the tree?
A train, traveling at a constant speed of 25 m/s, comes to an incline with a constant slope. While going up the incline, the train slows down with a constant acceleration of magnitude 1.8 m/s2. What is the speed of the train after 8.0 s on the incline?