Mars has an average acceleration due to gravity of 3.72 m/s2. Find the value of acceleration due to gravity at an altitude of 1000 km.
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- A ball is kicked at ground level with an intitial velocity of 19.5 m/s in the horizontal direction and 14 m/s in the vertical direction. What is the maximum height attained by the ball in meters?A fish swimming in a horizontal plane has velocityvi (4.00i +1.00j) m/s at a point in the ocean whose displacement from a certain rock is ri(10.0i - 4.00j) m. After the fish swims with constant acceleration for 20.0 s, its velocity is v (20.0i - 5.00j) m/s. (a) What are the components of the acceleration? (b) What is the direction of the acceleration with respect to the unit vector i? (c) Where is the fish at t = 25.0 s if it maintains its original acceleration and in what direction is it moving?A spaceship is traveling at a constant velocity of v ⃗ (t) = 250.0i ^ m/s when its rockets fire, giving it an acceleration of a ⃗ (t) = (3.0i ^ + 4.0k ^ )m/s2. What is its velocity 5 s after the rockets fire?
- A fish swimming in a horizontal plane has velocity (4.00 î + 1.00 ĵ) m/s at a point in the ocean where the position relative to a certain rock is ₁ = (15.0 î – 1.70 ĵ) m. After the fish swims with constant acceleration for 18.0 s, its velocity is = (24.0 î – 6.00 ĵ) m/s. (a) What are the components of the acceleration of the fish? (b) What is the direction of its acceleration with respect to unit vector î? (c) If the fish maintains constant acceleration, where is it at t = 30.0 s? In what direction is it moving? Part 1 of 7 - Conceptualize The fish is speeding up and changing direction in a horizontal plane relative to a known position vector. We will write separate equations to describe the x and y components of its motion under constant acceleration. Part 2 of 7 - Categorize We will model the fish as an object under constant acceleration. We use the standard equations for two dimensional motion in the xy plane. We will use x and y subscripts for the components of position, velocity,…A ball is thrown from the ground with an initial velocity of 20 m/s at an angle of 30 degrees above the horizontal. Ignoring air resistance, calculate the maximum height reached by the ball and the horizontal distance it travels before hitting the ground. Assume the acceleration due to gravity, g, is 9.8 m/s² and take the direction of upward motion as positive.A car is traveling horizontally at 19.3 m/s at the moment it drives off the top of a 5.19 m tall cliff. Assuming no air-resistance can be ignored, what horizontal distance does the car travel before stiking the ground?
- An airplane needs to reach a velocity of 184 km/h to take off. On a 2000 m runway, what is the minimum acceleration necessary for the plane to take flight?Problem 2: An object is thrown off the top of a 38-m tall building with a velocity of 350 m/s at an angle of 8.2° with respect to the horizontal. Part (a) How long is the object in the air in seconds? Numeric : A numeric value is expected and not an expression. t = Part (b) What is the maximum height the object reaches above the ground in meters? Numeric : A numeric value is expected and not an expression. hmax = Part (c) What is the horizontal distance the object covers in meters? Numeric : A numeric value is expected and not an expression. Ax =.Influenced by the gravitational pull of a distant star, the velocity of an asteroid changes from from +20.7 km/s to −19.1 km/s over a period of 2.19 years. (a) What is the total change in the asteroid's velocity? (Indicate the direction with the sign of your answer.) (b) What is the asteroid's average acceleration during this interval? (Indicate the direction with the sign of your answer.)
- A cannon is mounted on a tower above a wide, level field. The barrel of the cannon is 80 m above the ground below. A cannonball is fired horizontally with an initial speed of 800 m/s. Assuming air resistance can be neglected, approximately how long will the cannonball be in flight before it hits the ground? О 16 s 40 s 4 s 32 s 2 s About how far from the base of the tower will the cannonball land? 3000 m 800 m O 160 m 40 m 60000 mA fish swimming in a horizontal plane has velocity v = (4.00 î + 1.00 j) m/s at a point in the ocean where the position relative to a certain rock is i = (12.0 î - 3.80 j) m. After the fish swims with constant acceleration for 15.0 s, its velocity is v = (17.0 î – 6.00 ĵ) m/s. (a) What are the components of the acceleration of the fish? m/s2 |m/s? (b) What is the direction of its acceleration with respect to unit vector î? ° counterclockwise from the +x-axis (c) If the fish maintains constant acceleration, where is it at t = 30.0 s? m In what direction is it moving? ° counterclockwise from the +x-axisA car is parked on a steep incline, making an angle of 37.0° below the horizontal and overlooking the ocean, when its brakes fail and it begins to roll. Starting from rest at t = 0, the car rolls down the incline with a constant acceleration of 4.29 m/s2, traveling 48.0 m to the edge of a vertical cliff. The cliff is 30.0 m above the ocean. (a) Find the speed of the car when it reaches the edge of the cliff. m/s(b) Find the time interval elapsed when it arrives there. s(c) Find the velocity of the car when it lands in the ocean. magnitude m/s direction ° below the horizontal (d) Find the total time interval the car is in motion. s(e) Find the position of the car when it lands in the ocean, relative to the base of the cliff.