An object was launched 14° above the horizontal and landed at the same height it was launched from. Take up to be positive & down to be negative. Identify which the of following POSITION vs. TIME graphs best represents the X-POSITION (rx) of the projectile & which graph best represents the Y-POSITION (ry). Ignore air drag. x-position (rx) y-position (ry) O POSITION vs. TIME GRAPHS O C O ●
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- Suppose the ball is thrown from the 45 m at an angle of 31.0° below the horizontal. If it strikes the ground 54.5 m away, find the following. (Hint: For part (a), use the equation for the x-displacement to eliminate v0t from the equation for the y-displacement.) (a) the time of flight s(b) the initial speed m/s(c) the speed and angle of the velocity vector with respect to the horizontal at impact speed m/s angle ° below the horizontalIn a local bar, a customer slides an empty beer mug down the counter for a refill. The height of the counter is 1.20 m. The mug slides off the counter and strikes the floor 0.60 m from the base of the counter. For how long was the mug in free fall? With what speed did the mug leave the counter? What were the horizontal and vertical components of the mug’s velocityjust before it struck the floor? What were the magnitude and direction (angle with respect to thehorizontal) of the mug’s velocity just before it struck the floor?At a particular instant, a hot air balloon is 100 m in the air and descending at a constant speed of 2.0 m/s. At this exact instant, a girl throws a ball horizontally, relative to herself, with an initial speed of 35 m/s. When she lands, where will she find the ball? Ignore air resistance.
- In a relief operation mission involving a helicopter h distance above the ground traveling with a horizontal velocity vx. What should be the expression for the horizontal distance dx at which you release the relief package so that it will arrive to the survivors at the right place? (Neglect the effect of air resistance) Fill in the missing blanksse the position equation s = −16t2 + v0t + s0 where s represents the height of an object (in feet), v0 represents the initial velocity of the object (in feet per second), s0 represents the initial height of the object (in feet), and t represents the time (in seconds). A projectile is fired straight upward from ground level (s0 = 0) with an initial velocity of 128 feet per second. (b) When will the height be less than 128 feet? (Only consider the time from launch to landing. Enter your answer using interval notation.)A golf ball is struck across a flat fairway at an angle of 45∘ with an initial speed of 147ft/s. a.). Write a set of parametric equations for the motion of the golf ball. b.). Determine how long the golf ball was in the air. c.). Determine how far the golf ball traveled in the air. x=v0cos(θ)t Recall, y=-1/2(g)t2+v0sin(θ)t+h g=32ft/sec/sec
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