Problem 10: In a particular Cartesian coordinate system, the y and z-components of the acceleration are zero and the x-component varies as given by the following function: a,(1) = -5 + 48t, where t is in seconds and a, is in meters per square second. The particle's velocity at 1 = 0 was pointed towards the positive x-axis and has a magnitude of 23 m/s. Part (a) Find the instantaneous acceleration, in meters per square second, at t = 1 sec. Numeric : A numeric value is expected and not an expression. ax = Part (b) Find the instantaneous acceleration, in meters per square second, at t = 2 sec. Numeric : A numeric value is expected and not an expression. ax3= Part (c) Find the instantaneous acceleration, in meters per square second, at t= 3 sec. Numeric : A numeric value is expected and not an expression. ax = Part (d) Find the instantaneous velocity, in meters per second, at t = 1 sec. Numeric : A numeric value is expected and not an expression. Vx =

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Chapter1: Units, Trigonometry. And Vectors
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2D Kinematics Question 10: Please answer including steps and reasoning for them.

Problem 10: In a particular Cartesian coordinate system, the y and z-components of the acceleration are zero and the x-component
varies as given by the following function: a,(t) = -5 + 48t, where t is in seconds and a, is in meters per square second. The
particle's velocity at t = 0 was pointed towards the positive x-axis and has a magnitude of 23 m/s.
Part (a) Find the instantaneous acceleration, in meters per square second, at t = 1 sec.
Numeric : A numeric value is expected and not an expression.
Ax =
Part (b) Find the instantaneous acceleration, in meters per square second, at t = 2 sec.
Numeric : A numeric value is expected and not an expression.
ax =
Part (c) Find the instantaneous acceleration, in meters per square second, at t = 3 sec.
Numeric : A numeric value is expected and not an expression.
ax =
Part (d) Find the instantaneous velocity, in meters per second, at t = 1 sec.
Numeric : A numeric value is expected and not an expression.
Vx =
Part (e) Find the instantaneous velocity, in meters per second, at t = 2 sec.
Numeric : A numeric value is expected and not an expression.
Vx =
Part (f) Find the instantaneous velocity, in meters per second, at 1 = 3 sec.
Numeric : A numeric value is expected and not an expression.
Vx =,
Part (g) If the particle was at x = 0 at t = 0, find the position in meters of the particle at t = 1 s.
Numeric : A numeric value is expected and not an expression.
x =
Part (h) If the particle was at x = 0 at t = 0, find the position in meters of the particle at t = 2 s.
Numeric : A numeric value is expected and not an expression.
x =
Part (i) If the particle was at x = 0 at t = 0, find the position in meters of the particle at t = 3 s.
Numeric : A numeric value is expected and not an expression.
x =
Transcribed Image Text:Problem 10: In a particular Cartesian coordinate system, the y and z-components of the acceleration are zero and the x-component varies as given by the following function: a,(t) = -5 + 48t, where t is in seconds and a, is in meters per square second. The particle's velocity at t = 0 was pointed towards the positive x-axis and has a magnitude of 23 m/s. Part (a) Find the instantaneous acceleration, in meters per square second, at t = 1 sec. Numeric : A numeric value is expected and not an expression. Ax = Part (b) Find the instantaneous acceleration, in meters per square second, at t = 2 sec. Numeric : A numeric value is expected and not an expression. ax = Part (c) Find the instantaneous acceleration, in meters per square second, at t = 3 sec. Numeric : A numeric value is expected and not an expression. ax = Part (d) Find the instantaneous velocity, in meters per second, at t = 1 sec. Numeric : A numeric value is expected and not an expression. Vx = Part (e) Find the instantaneous velocity, in meters per second, at t = 2 sec. Numeric : A numeric value is expected and not an expression. Vx = Part (f) Find the instantaneous velocity, in meters per second, at 1 = 3 sec. Numeric : A numeric value is expected and not an expression. Vx =, Part (g) If the particle was at x = 0 at t = 0, find the position in meters of the particle at t = 1 s. Numeric : A numeric value is expected and not an expression. x = Part (h) If the particle was at x = 0 at t = 0, find the position in meters of the particle at t = 2 s. Numeric : A numeric value is expected and not an expression. x = Part (i) If the particle was at x = 0 at t = 0, find the position in meters of the particle at t = 3 s. Numeric : A numeric value is expected and not an expression. x =
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