20 m Shadow +12 m→i

Q: A particle moves along the x-axis so that at timet >0 its position is given by æ(t) = t - 24t?.…

A: Given: x(t)= t4-24t2

Q: What is the daredevil’s acceleration at t = 3 seconds?

A:

Q: A car's distance in miles from its destination at time t is given by d = 360 - 55t How fast is the…

A: Rate of change of distance travelled from source with respect to time is known as velocity. So,…

Q: If an arrow is shot upward on the moon with a velocity of 58 ms, its height (in meters) after t…

A: When the arrow hits the moon then the height is 0. So, H=0 We will find t for H=0

Q: The number N of bacteria in a culture is given by the model N = 175ekt, where t is the time in…

A: Given: The number N of bacteria in a culture is given by the model N = 175ekt, where t is the time…

Q: A balloon is rising vertically at a constant speed of 3 m=sec: A boy is cycling along a straight…

A: Given: dxdt=7 and dydt=3

Q: Had Galileo dropped a cannonballfrom the Tower of Pisa, 179 ft above the ground, theball’s height…

A: We have given, s=179-16t2 a) Velocity is the derivative of the height function. Thereore, v=s'=-32t…

Q: Q4. A man 7 ft tall walks at a speed of 5 ft/sec toward a street lamp which is 15 ft above the…

A:

Q: A particle moves along the x-axis so that at timet >0 its position is given by x(t) = 3t3 - 9t? –…

A: Given that x(t)=3t3-9t2-72t. We need to determine all the intervals when the acceleration of the…

Q: a ball is thrown straight upwards from a tower (40 feet high) so that its position, s in feet, at…

A:

Q: b) Sand is leaking from a bag in such a way that after t seconds, there are S(t) = 50 (1 –) 3 pounds…

A: Given equation is: St=501-t2153 (1) Originally at time t = 0, the amount of sand in the bag was:…

Q: A particle that moves along a straight line has velocity v(t) = t²e-5t meters per second after t…

A: Given a particle that moves along a straight line has velocity v(t)=t2e-5t

Q: Engr. Garcia is going on a trip to La Union. He drives using his car having an equation of…

A: given equation :

Q: er 10 meters long is leaning against the wall. If the bottom of the ladder is being pushed…

A: Consider the provided information, Let AB be a ladder, where given that AB = 10 m.Because, OAB is a…

Q: The submarine U.S.S. Dallas shoots a torpedo at the Soviet submarine V.K. Konovalov, which is 6732…

A: Use the equations of motion to solve the following problem. Use the given data and proper equation…

Q: A particle that moves along a straight line has velocity v(t) = t²e-4t meters per second after t…

A: Integrae with Givenlimit

Q: A 25ft ladder is sliding down a wall at -6ft/s. How fast is the bottom of the ladder sliding out…

A: Given, Length of ladder= 25 ft  Rate of sliding down = -6 ft/s  We have to find how fast is the…

Q: A lady 1.65 meter tall walks towards a lamp post 2.65 meters high at a speed of 1.5 m/s. How fast…

A: Given : A lady 1.65 meter tall walks towards a lamp post 2.65 meters high at a speed of 1.5m/s.…

Q: At the instant the traffic light turns green, a car that has been waiting at an intersection starts…

A:

Q: A ladder 10 meters long leans against a wall. If the bottom of the ladder is being pulled away from…

A: .

Q: A lamp post 3 m high is 6 m from a wall. A man 2 m tall is walking directly from the post toward the…

A:

Q: ,2_2t A particle moves along a straight line with a velocity v(t) = t²e²¹ meters per second after t…

A:

Q: The acceleration of a particle moving along a horizontal line is given by a(t) = 2t - 2. If particle…

A:

Q: 5. An object is shot upward from the ground level with an initial velocity of 160ft/s. Its height in…

A: From the Given height function. ht or ft=-16t2+160t   If the object falls back to the ground, it…

Q: b) Sand is leaking from a bag in such a way that after t seconds, there are s(t) = 50 (1 – 5 3…

A:

Q: A hockey player is standing on his skates on a frozen pond when an opposing player, moving with a…

A: Given: Initial velocity of opponent player 4 m/s. Acceleration of hockey player is 0.34 m/s2.…

Q: A man 1.8m tall walks away from a lamp post 4m high at a speed of 1.5 m/s. How fast is his shadow…

A: Consider the given information

Q: An epidemic is spreading at the rate of 18e0.2t new cases per day, where t is the number of days…

A:

Q: The height in meters of a diver above the pooľ's surface is given by h(t) = -5t² + 7t + 10, where t…

A: Given that the height of a diver above the pool's surface is  ht=-5t2+7t+10 a) It is required to…

Q: (b) If a rock is thrown upwared on the planet mars with a velocity of 12ms, its height in meters t…

A: The height of the rock is given by: y(t)=12t-1.92t2 To find the average velocity over the interval…

Q: A particle moves along a straight line with a velocity v(t) = t²e²t meters per second after t…

A: A particle moves along a straight line with a velocity v(t)=t2e2t meters per second after t seconds.

Q: A girl starting at 11 A.M., travels east at 4 km/hr while a boy, starting at noon from the same…

A:

Q: a ball is free falling from height of 200 mifind 1-the time of the ball wheureach to the ground. 2-…

A: Part(a): Given, Height=200 mg=9.8 m/s2u=0 Velocity for free falling body Let, the time be t and…

Q: Sand is accumulating in a conical pile with a radius that is always 3 times its height. If the sand…

A: Given: A conical pile with radius 3 times its height. r=3h Rate of change of velocity of sand…

Q: If a rock is thrown vertically upward from the surface of Mars with velocity 80m/s, its height after…

A:

Q: If a rock is thrown vertically upward from the surface of Mars with velocity 15 m/s, its height…

A: Given:         h=15t-1.86t2    Height of rock h(t)=25m        15t-1.86t2=25   rewrite in the form of…

Q: If a ball is thrown vertically upward from the roof of 4848 foot building with a velocity of 6464…

A: s(t) = 48 + 64t - 16t2Hence, s’(t) = 64 – 32ts”(t) = - 32When s is maximum, s’(t) = 0; hence 64 –…

Q: 6. Shan, who is 2 meters tall, is approaching a post that holds a lamp 6 meters above the ground. If…

A:

Q: An object moving in a straight line has an acceleration in m/s2 given by a = 18t + 4. Find its…

A:

Q: A balloon is 20m horizontally away from an observer. At an constant, the balloon rises vertically at…

A: Let the distance between ballons and observer is y and vertically distance from the ground is x m…

Q: All edges of a cube are expanding at a rate of 4 centimeters per second. (a) How fast is the surface…

A: From the given data: The rate of expanding of a cube is 4cm/sec

Q: A 5m long ladder has its upper end leaning against a vertical wall and lower end on a perfectly…

A:

Q: All edges of a cube are expanding at a rate of 4 centimeters per second. (a) How fast is the surface…

A:

Q: A ball is thrown straight down from the top of a 370-foot building with an initial velocity of -18…

A: Given

Q: If a ball is thrown vertically upward from the roof of 32 foot building with a velocity of 80…

A: We need to find height, velocity, acceleration.

Q: If a ball is thrown vertically upward from the roof of a 64 foot tall building with a velocity of 80…

A: Let's find maximum height and velocity of ball at ground.

Q: If a rock is thrown vertically upward from the surface ofMars with velocity 15m/s , its height after…

A: Given: If a rock is thrown vertically upward from the surface of Mars with velocity 15m/s, its…

Q: (a) Find the velocity of the particle at time t. s'(t) = (b) When is the velocity 0? (Use n as the…

A: Follow the procedure given below.