A ball is thrown vertically upward from the ground with a speed of 80 ft/sec. If g= 32 ft/sec², then the ball will be at a height of 96 feet above the ground after time (a) 2 and 3 sec (b) 3 sec only (c) 2 sec only (d) 1 and 2 sec
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- Here are three vectors in meters: d1 = -6.60î + 8.70ĵ + 3.50k d 2 = - 2.00î – 4.00ĵ + 2.00k d 3 = 2.00î + 3.00ĵ + 1.00k What results from (a) đ1· ( đ 2 + đ 3 ), (b) đ 1 · ( đ 2 × đ 3), and d 1 x ( d 2 + d 3 ) (c), (d) and (e) for i,j and k components respectively)? (a) Number i Units (b) Number Units (c) Number i Units (d) Number Units (e) Number i UnitsYou jump off the end of a ski jump. Your height in meters relative to the height of the ski jump after t seconds is given by h(t)=-5t^(2)+12t. How high will you be compared to the end of the ski jump after 6 seconds?A cat chases a mouse across a 1.7 m high table. The mouse steps out of the way, and the cat slides off the table and strikes the floor 1.5 m from the edge of the table. The acceleration of gravity is 9.81 m/s 2 . What was the cat’s speed when it slid off the table? Answer in units of m/s.
- The acceleration of a particle is a constant. At t=0 the velocity of the particle is (14.91 + 18.4ĵ) m/s. At t = 4.6 s the velocity is 11.4j m/s. (Use the following as necessary: t. Do not include units in your answers.) (a) What is the particle's acceleration (in m/s²)? = î+ 18.4 v(t) = (b) How do the position (in m) and velocity (in m/s) vary with time? Assume the particle is initially at the origin. r(t) = î+ X Î- i) m/s m/sA piece of wood moves at a velocity (measured in millimeters per year) of v(1) = r² – 3t – 4 where 1 = 1 would be the end of the first year. If a is the displacement of the wood in the first 5 years and b is the distance traveled in the first 5 years, what is a- b? None of the listed answersA space probe on the surface of Mars sends a radio signal back to the Earth, a distance of 7.96 ✕ 107 km. Radio waves travel at the speed of light (3.00 ✕ 108 m/s). How many seconds does it take for the signal to reach the Earth?
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- The height of a projectile moving vertically is given by the table, where t is the elapsed time in seconds and h is the height in feet. t = 0, 1, 2, 3, 4, 5 h = 100, 684, 1236, 1756, 2244, 2700 If the height is modeled by h(t) = -16t2 + v0t + h0, where v0 and h0 are the velocity and height at t = 0, respectively, find v0A hawk flying at 10m/s at an altitude of 198 m accidentally drops its prey. The parabolic trajectory of the falling prey is described by the equation y = 198 x2 30 until it hits the ground, where y is its height above the ground and ï is the horizontal distance traveled in meters. Calculate the distance traveled by the prey from the time it is dropped until the time it hits the ground.Consider the three vectors A= 4.2i+3.9j+6.5k, B=-9.1i+1.3j+6.4K, and C=8.8i-2.9j+3.2k. (A) what is the x component of the vector sum V= A+B+C? (B) what is the y component of the vector sum V=A+B+C? (C) what is the s component of the vector sum V=A+B+C? (D) what is the length of the sum of the given vectors, |V|?