Starting from rest, a truck travels in a straight line for 7.0 s with a uniform...

Starting from rest, a truck travels in a straight line for 7.0 s with a uniform acceleration of +1.6 m/s2. The driver then applies the brakes for 3.0 s, causing a uniform acceleration of −2.0 m/s2 over that time. (a) What is the truck's speed at the end of the braking period? (b) What is the total distance traveled by the truck (from the point where it started at rest to the end of the braking period)

Solutions

Expert Solution

(a) The truck starts from rest. So the initial velocity of the truck is u = 0m/s. For t1 = 7s, the acceleration of the truck is a1 = 1.6m/s^2. So the velocity v' of the truck after 7s is given by,

Then for the braking period of t2 = 3s, the acceleration of the truck is a2 = -2m/s^2. So the velocity v at the ed of the braking period is,

So, truck's speed at the end of the braking period is 5.2m/s.

(b) The distance travelled by the truck during the first 7s is given by,

The distance travelled by the truck during the last 3s is given by,

So the total distance travelled is,

So the total distance traveled by the truck is 63.8m.

genius_generous answered 1 year ago

Next > < Previous

Related Solutions

1. A Light travels in a straight line at a constant speed of 300,000 km/s. calculate...

1. A Light travels in a straight line at a constant speed of 300,000 km/s. calculate how far it will go in one millisecond. 2. which of the following statement is true and why? A. speed can be negative B. acceleration is always positive C. constant speed implies constant velocity D. acceleration and velocity always have the same direction E. constant velocity implies constant speed 3. You have won the lottery. The prize is 20 lb of gold. Approximately how...

You are on roller blades, holding a rope attached to a truck. Starting from rest, the...

You are on roller blades, holding a rope attached to a truck. Starting from rest, the truck pulls you. After traveling for 7.33 s, you are moving at 10.0 m/s. If the friction in your roller blades is negligible, what is the tension in the rope? Your mass is 69.0 kg. Report your answer in SI units, rounded to the nearest whole number.

A Honda Civic travels in a straight line along a road. Its distance x from a...

A Honda Civic travels in a straight line along a road. Its distance x from a stop sign is given as a function of time t by the equation x(t)= α t2− β t3, where α = 1.44 m/s2 and β = 5.00×10−2 m/s3 a. Calculate the average velocity of the car for the time interval t=0 to t1 = 1.95 s . b. Calculate the average velocity of the car for the time interval t=0 to t2 = 3.96...

A rocket is fired straight upward, starting from rest with an acceleration of 25.0 m/s2. It...

A rocket is fired straight upward, starting from rest with an acceleration of 25.0 m/s2. It runs out of fuel at the end of 4.00 s and continues to coast upward, reaching a maximum height before falling back to Earth. (a) Find the rocket’s height when it runs out of fuel; (b) find the rocket’s velocity when it runs out of fuel; (c) find the maximum height the rocket reaches; (d) find the rocket’s velocity the instant before the rocket...

A rocket is launched from rest and moves in a straight line at 65.0 degrees angle...

A rocket is launched from rest and moves in a straight line at 65.0 degrees angle above the horizontal with an acceleration of 42.0m/s square. After 32.0 s of powered flight, the engines shut off and the rocket follows a parabolic path back to Earth. Find the time of flight from launching to impact. What is the maximum altitude reached? What is the distance from launch pad to impactpoint? Ignore the variation in g with height

A truck accelerates uniformly from rest to 19.5 m/s in 5.3 s along a level stretch...

A truck accelerates uniformly from rest to 19.5 m/s in 5.3 s along a level stretch of road. Determine the average power required to accelerate the truck for the following values of the weight (ignore friction). (a) 1.00x10^4 N (b) 1.20 x10^4 N

A car start from rest and travels towards a jeep. the jeep starts from rest at...

A car start from rest and travels towards a jeep. the jeep starts from rest at the same time with the car and travels toward the car. the car and jeep is 10 km apart. if the acceleration of the jeep and the car are 4 m/s^2 and 7 m/s^2 repectively, when and where will they meet?

at time t=0, a particle is located at the point(4,8,7). it travels in a straight line...

at time t=0, a particle is located at the point(4,8,7). it travels in a straight line to the point (7,1,6), has speed 7 at (4,8,7) and constant acceleration 3i-7j-k. Find an equation for the position vector r(t) of the particle at time

1 point) A truck starts from rest and accelerates at 1?/?2 . 6 s later, a...

1 point) A truck starts from rest and accelerates at 1?/?2 . 6 s later, a car accelerates from rest at the same starting point with an acceleration of 2.7m/s2 . a) Where and when does the car catch the truck? m from the starting point at seconds from the moment the truck started to accelerate. b) What are their velocities when they meet? The truck : m/s The car : m/s

An object falls from a height h from rest. If it travels a fraction of the...

An object falls from a height h from rest. If it travels a fraction of the total height of 0.5833 in the last 1.00 s, find the time of its fall. Find the height of its fall

Subjects